The HCF of 49 and 56 is 7. The numbers 49 and 56 are divisible evenly by the HCF value. The experts make use of simple language while explaining in order to help students grasp the concepts effortlessly. The factors of 49 are 1, 7, 49, and the factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. The HCF of 49 and 56 determined using prime factorisation, long division and listing common factors is provided briefly in this article.
Also read: Highest common factor
What is the HCF of 49 and 56?
The answer to this question is 7. Various methods to find the HCF of 49 and 56 are given in a precise way in this article. The HCF of 49 and 56 is 7, which divides the given numbers.
How to Find HCF of 49 and 56?
The methods used to get the HCF of 49 and 56 value is:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 49 and 56 by Prime Factorisation Method
The prime factorisation of 49 and 56 is:
49 = 7 × 7
56 = 2 × 2 × 2 × 7
The common prime factor of 49 and 56 is 7.
Hence, HCF (49, 56) = 7
HCF of 49 and 56 by Long Division Method
With the help of division, the numbers (49, 56) have to be divided using their factors to get the HCF. The HCF of 49 and 56 is the divisor we obtain when the remainder is zero after repeated division.
No further division can be done.
Hence, HCF (49, 56) = 7
HCF of 49 and 56 by Listing Common Factors
The HCF of 49 and 56 by listing common factors is available here.
Factors of 49: 1, 7, 49
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
There are 2 common factors of 49 and 56, and they are 1 and 7.
Therefore, the highest common factor of 49 and 56 is 7.
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Video Lesson on Properties of HCF and LCM
HCF of 49 and 56 Solved Example
Question: If HCF = 7 and product of two numbers = 2744, find the LCM.
Solution:
Given
HCF = 7
Product = 2744
We know that
HCF × LCM = Product
LCM = Product/HCF
LCM = 2744/7
LCM = 392
Hence, the LCM is 392.
Frequently Asked Questions on HCF of 49 and 56
What is the HCF of 49 and 56?
Find the HCF of 49 and 56 using the long division method.
List the methods used to find HCF of 49 and 56.
In 70, 7, 110, 130, 115, 85, find the HCF of 49 and 56.
What is the relation between HCF and LCM of 49 and 56?
The relation between HCF and LCM of 49 and 56 is
HCF × LCM = 49 × 56
HCF × LCM = 2744
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