The HCF of 140 and 196 is 28. Listing common factors, prime factorisation and long division are the three most frequent methods used for calculating the HCF of 140 and 196. The greatest number that divides 140 and 196 exactly and without leaving any remainder is the HCF of the numbers. 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, and 1, 2, 4, 7, 14, 28, 49, 98, 196, respectively, are the factors of 140 and 196.
Also read: Highest common factor
What is the HCF of 140 and 196?
The answer to this question is 28. This article shows how to find the HCF of 140 and 196 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.
How to Find HCF of 140 and 196?
There are three methods to find the HCF of 140 and 196:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 140 and 196 by Prime Factorisation Method
The prime factorisation of 140 and 196 is given by:
Prime factorisation of 140 = (2 × 2 × 5 × 7)
Prime factorisation of 196 = (2 × 2 × 7 × 7)
Hence, the HCF of 140 and 196 is 2 × 2 × 7 = 28.
HCF (140, 196) = 28
HCF of 140 and 196 by Long Division Method
The divisor that we get when the remainder is 0 after doing a long division repeatedly is the HCF of 140 and 196.
No further division can be done.
Hence, HCF (140, 196) = 28
HCF of 140 and 196 by Listing Common Factors
To calculate the HCF of 140 and 196 by listing common factors, list the factors as shown below:
Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Factors of 196: 1, 2, 4, 7, 14, 28, 49, 98, 196
There are 6 common factors of 140 and 196, which are 1, 2, 4, 7, 14, and 28. Therefore, the Highest Common Factor of 140 and 196 is 28.
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Video Lesson on Properties of HCF and LCM
HCF of 140 and 196 Solved Example
The product of two numbers is 27440. If their HCF is 28, what is their LCM?
Solution:
Given: HCF = 28 and product of numbers = 27440
We have LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 27440/28
Therefore, the LCM is 980.
Frequently Asked Questions on HCF of 140 and 196
What is the HCF of 140 and 196?
How to find the HCF of 140 and 196 by prime factorisation?
⇒ Since 2, 2, 7 are common factors in the prime factorisation of 140 and 196. Hence, HCF(140, 196) = 2 × 2 × 7 = 28
What are the methods to find HCF of 140 and 196?
Long Division
Listing Common Factors
Prime Factorisation
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