The HCF of 68 and 119 is 17. The HCF is the highest number, which divides the given numbers exactly. The factors of 68 are 1, 2, 4, 17, 34, 68, and the factors of 119 are 1, 7, 17, 119. We can find the HCF of 68 and 119 using prime factorisation, long division and listing common factors. Students can learn the steps used in the determination of HCF by using this article prepared by the subject experts at BYJU’S.
Also read: Highest common factor
What is the HCF of 68 and 119?
The answer to this question is 17. The various methods to find the HCF of 68 and 119 are given in this article. The HCF of 68 and 119 is 17, which divides both numbers exactly.
How to Find HCF of 68 and 119?
The methods used to find the HCF of 68 and 119 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 68 and 119 by Prime Factorisation Method
The prime factorisation of 68 and 119 is:
68 = 2 × 2 × 17
119 = 7 × 17
Common prime factors of 68 and 119 = 17
Therefore, HCF (68, 119) = 17
HCF of 68 and 119 by Long Division Method
To find the HCF, we have to divide (68, 119) by the prime factors. The HCF of 68 and 119 is the divisor we obtain when the remainder is zero.
No further division can be done.
Hence, HCF (68, 119) = 17
HCF of 68 and 119 by Listing Common Factors
The HCF of 68 and 119 by listing common factors is:
Factors of 68: 1, 2, 4, 17, 34, 68
Factors of 119: 1, 7, 17, 119
There are 2 common factors of 68 and 119, and they are 1 and 17.
Therefore, the highest common factor of 68 and 119 is 17.
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Video Lesson on Properties of HCF and LCM
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HCF of 68 and 119 Solved Example
Question: If the product of two numbers = 8092 and HCF = 17, find the LCM.
Solution:
Given
Product of two numbers = 8092
HCF = 17
HCF × LCM = Product of two numbers
17 × LCM = 8092
LCM = 8092/17
LCM = 476
Hence, the LCM is 476.
Frequently Asked Questions on HCF of 68 and 119
What is the HCF of 68 and 119 if the LCM is 476?
Given
LCM = 476
LCM × HCF = 68 × 119
HCF = (68 × 119)/ 476
HCF = 17
Using the long division method, how can we find the HCF of 68 and 119?
What are the methods used to find HCF of 68 and 119?
What is the HCF of 68 and 119?
Show the relation between HCF and LCM of 68 and 119.
The relation between HCF and LCM of 68 and 119 is:
HCF × LCM = 68 × 119
HCF × LCM = 8092
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