The HCF of 441, 567 and 693 is 63. The Highest Common Factor (HCF) is the greatest factor present between two or more numbers. Numerous methods are used to calculate the HCF of given numbers. Prime factorisation, long division method and listing of common factors are the frequently used methods to determine the HCF of given numbers. The article Highest Common Factor is designed by experts in simple and easy language with the aim to provide students with the best study resource for effective learning of the HCF concept. Learn the tricks to find the Highest Common Factor of 441, 567 and 693 in a descriptive manner here.
What is the HCF of 441, 567 and 693?
The answer to this question is 63. Thus, the number that divides 441, 567 and 693 exactly is 63. In this article, we learn to find the HCF of 441, 567 and 693 using methods such as prime factorisation, long division method and listing common factors.
How to Find HCF of 441, 567 and 693?
The following methods are used to find the HCF of 441, 567 and 693:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 441, 567 and 693 by Prime Factorisation Method
In prime factorisation, we express the numbers as the product of prime factors. To determine the Highest Common Factor, multiply all the common prime factors with the lowest degree (power).
441 = 3 × 3 × 7 × 7
567 = 3 × 3 × 3 × 3 × 7
693 = 3 × 3 × 7 × 11
Common prime factors of 441, 567 and 693 are 3, 3 and 7.
Therefore,
HCF of (441, 567, 693) = 3 × 3 × 7 = 63
HCF of 441, 567 and 693 by Long Division Method
The below steps are used to find the Highest Common Factor of 441, 567 and 693 in the long division method.
Step 1: Divide the largest number 693 by the smallest number 441. Continue the division process till we get the remainder as zero. We get the divisor as 63 when the remainder is equal to zero. Hence the HCF of 441 and 693 is 63.
Step 2: Now, to calculate the HCF of 63 and 567, we perform the long division method on 567 and 63.
Step 3: We get the divisor as 63 when the remainder is zero. Hence, the HCF of 63 and 567 is 63.
The HCF of 441, 567 and 693 by the long division method is given below:
First, find the HCF of 441 and 693
HCF of 441 and 693 is 63 and HCF of 63 and 567 is 63
Therefore, the HCF (441, 567, 693) = 63.
HCF of 441, 567 and 693 by Listing the Factors
In this method, we determine the Highest Common Factor by listing all the factors of given numbers. The factors of 441, 567 and 693 are mentioned below:
Factors of 441: 1, 3, 7, 9, 21, 49, 63, 147, 441
Factors of 567: 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Factors of 693: 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Therefore, HCF (441, 567, 693) = 63
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Solved Example
Question: Determine the highest number that divides 441, 567 and 693 completely.
Solution: The largest number that divides 441, 567 and 693 is their Highest Common Factor. The list of factors of 441, 567 and 693 are:
Factors of 441: 1, 3, 7, 9, 21, 49, 63, 147, 441
Factors of 567: 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Factors of 693: 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Here, 63 is the Highest Common Factor. Hence, the highest number that divides 441, 567 and 693 completely is 63.
Frequently Asked Questions on HCF of 441, 567 and 693
What is the HCF of 441, 567 and 693?
Write the methods used to find the HCF of 441, 567 and 693.
The following methods are used to find the HCF of 441, 567 and 693.
Prime Factorisation
Long Division Method
Listing Common Factors
Is the HCF of 441, 567 and 693 the same as the HCF of 63, 189 and 315?
83 is the HCF of 441, 567 and 693. True or False.
False. The HCF of 441, 567 and 693 is 63.
Find the HCF of 441, 567 and 693 using the prime factorisation method.
In the prime factorisation, we find the HCF by expressing the given numbers as the product of prime factors. Hence, 441, 567 and 693 are expressed as below:
441 = 3 × 3 × 7 × 7
567 = 3 × 3 × 3 × 3 × 7
693 = 3 × 3 × 7 × 11
Common prime factors of 441, 567 and 693 are 3, 3 and 7
Therefore, HCF of (441, 567, 693) = 3 × 3 × 7 = 63
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