The HCF of 4 and 15 is 1. The factors of 4 are 1, 2, 4, and the factors of 15 are 1, 3, 5, 15. Among the factors of 4 and 15, the number that divides both 4 and 15 is 1. Therefore, we can say that the Highest Common Factor of 4 and 15 is 1. Follow the article HCF to learn the simple steps of solving problems in an efficient manner. Using this article on a daily basis also improves time management and problem-solving skills among students. Let us learn how to calculate the Highest Common Factor of 4 and 15 using various methods in this article.
What is the HCF of 4 and 15?
The Highest Common Factor of 4 and 15 is 1. The factors of 4 are 1, 2 and 4, and the factors of 15 are 1, 3, 5 and 15. Hence, 1 is the Highest Common Factor of 4 and 15.
How to Find HCF of 4 and 15?
There are three methods to find the HCF of 4 and 15:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 4 and 15 by Prime Factorisation Method
In prime factorisation, to find the HCF, we express the given numbers as the product of prime factors. Hence, 4 and 15 can be expressed as:
4 = 2 × 2
15 = 3 × 5
There is no common prime factor between 4 and 15.
Therefore,
HCF (4, 15) = 1
HCF of 4 and 15 by Long Division Method
In this method, we use the following steps to find the Highest Common Factor of 4 and 15.
Step 1: Divide the largest number by the smallest number from the given two numbers.
Step 2: Now, check the remainder. If it is not 0, then make it a new divisor and write the previous divisor as the new dividend. Then perform the division.
Step 3: Repeat this process until we get the remainder equal to zero. The last divisor will be the HCF of the given two numbers.
The Highest Common Factor of 8 and 16 by the long division method is:
HCF (4, 15) = 1
HCF of 4 and 15 by Listing Common Factors
In this method, we list out all the factors of 4 and 15 to find their Highest Common Factor. The factors of 4 and 15 are given below:
Factors of 4:1, 2, 4
Factors of 15: 1, 3, 5, 15
Hence, HCF (4, 15) = 1
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Video Lesson on Properties of HCF and LCM
Solved Examples
1. What is the highest number that divides both 4 and 15 exactly?
Solution: 1 is the highest number that divides both 4 and 15 exactly.
2. The product of two numbers is 60. What is the LCM if their HCF is 1?
Solution: Given,
HCF = 1
Product of two numbers = 60
We know that
LCM × HCF = Product of two numbers
LCM = Product of two numbers / HCF
LCM = 60 / 1
LCM = 60
Hence, the LCM is 60.
Frequently Asked Questions on HCF of 4 and 15
What is the HCF of 4 and 15?
Is the HCF of 4 and 15 same as the HCF of 3 and 15?
What are the methods used to find the HCF of 4 and 15?
The methods used to find the HCF of 4 and 15 are as follows:
Prime Factorisation
Long Division method
Listing common factors
Mention the relation between LCM and HCF of 4 and 15.
The following equation is used to represent the relation between LCM and HCF of 4 and 15:
HCF × LCM = 4 × 15
Calculate the LCM if the HCF of 4 and 15 is 1.
We know that
HCF × LCM = 4 × 15
Given
LCM = 1
1 × LCM = 4 × 15
LCM = 60
Therefore, the LCM is 60.
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