The HCF of 3556 and 3444 is 28. The highest integer value, which divides 3556 and 3444, is the HCF. The factors of 3556 are 1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556, and the factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. The HCF of two numbers can be found using the prime factorisation, long division and listing common factors.
Also read: Highest common factor
What is the HCF of 3556 and 3444?
The answer to this question is 28. The HCF of 3556 and 3444 using the three different methods are given in this article. The value which divides 3556 and 3444 evenly is the HCF of the two numbers.
How to Find HCF of 3556 and 3444?
The three methods to get the HCF of 3556 and 3444 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 3556 and 3444 by Prime Factorisation Method
The prime factorisation of 3556 and 3444 is given by:
3556 = 2 × 2 × 7 × 127
3444 = 2 × 2 × 3 × 7 × 41
Common prime factors of 3556 and 3444 = 2, 2, 7
Therefore, HCF (3556, 3444) = 28
HCF of 3556 and 3444 by Long Division Method
First, by the division of 3556 and 3444 from their prime factors, the HCF of 3556 and 3444 can be found. The divisor 28, when the remainder is zero, is the HCF.
No further division can be done.
Hence, HCF (3556, 3444) = 28
HCF of 3556 and 3444 by Listing Common Factors
We can calculate the HCF of 3556 and 3444 by listing common factors as provided below:
Factors of 3556: 1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556
Factors of 3444: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444
There are 6 common factors of 3556 and 3444, and they are 1, 2, 4, 7, 14 and 28.
Therefore, the highest common factor of 3556 and 3444 is 28.
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Video Lesson on Properties of HCF and LCM
HCF of 3556 and 3444 Solved Example
Question: Determine the HCF of 3556 and 3444 if the LCM is 437388.
Solution:
We know that
LCM × HCF = 3556 × 3444
HCF = (3556 × 3444)/437388
HCF = 28
Hence, the HCF is 28.
Frequently Asked Questions on HCF of 3556 and 3444
What is the HCF of 3556 and 3444?
How to find the HCF of 3556 and 3444 using the prime factorisation method?
Using the prime factorisation method,
3556 = 2 × 2 × 7 × 127
3444 = 2 × 2 × 3 × 7 × 41
Therefore, the HCF is 28.
What methods can we use to find HCF of 3556 and 3444?
Find the LCM if the HCF of 3556 and 3444 is 28 and the product is 12246864.
Given
HCF = 28
Product = 12246864
LCM × HCF = Product
LCM = Product/HCF
LCM = 12246864/28
LCM = 437388
Mention the relation between HCF and LCM of 3556 and 3444.
The relation between HCF and LCM of 3556 and 3444 is:
HCF × LCM = 3556 × 3444
HCF × LCM = 12246864
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