The HCF of 95 and 152 is 19. The factors of 95 are 1, 5, 19, and 95, and the factors of 152 are 1, 2, 4, 8, 19, 38, 76, and 152. In the given set of numbers 95 and 152, the largest number that divides both the numbers is 19. Hence the Highest Common Factor of 95 and 152 is 19. Students are recommended to follow the article on HCF crafted by BYJU’S experts with utmost care to make the learning process more interesting and effective. Learn the simple method of how to verify the Highest Common Factor of 95 and 152 using prime factorisation, long division method and listing common factors in this article.
What is the HCF of 95 and 152?
The answer to this question is 19. In this article, we will learn how to find the Highest Common Factor of 95 and 152 using various methods in a descriptive manner.
How to Find HCF of 95 and 152?
There are three methods to find the HCF of 95 and 152:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 95 and 152 by Prime Factorisation Method
In the prime factorisation method, we depict the numbers as the product of prime factors. To find the highest common factor, multiply all the common prime factors with the lowest degree (power).
95 = 5 × 19
152 = 2 × 2 × 2 × 19
Common prime factor of 95 and 152 is 19.
Therefore,
HCF of (95, 152) = 19
HCF of 95 and 152 by Long Division Method
In the long division method, we divide the largest number by the smallest among the given numbers until the remainder is zero. The last divisor will be the Highest Common Factor of given numbers.
HCF (95, 152) = 19
HCF of 95 and 152 by Listing the Factors
In this method, we can determine the Highest Common Factor of 95 and 152 by listing all the factors of 95 and 152. The factors of 95 and 152 are given below:
Factors of 95:1, 5, 19, 95
Factors of 152:1, 2, 4, 8, 19, 38, 76, 152
Therefore, HCF (95, 152) = 19
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Example
Question: Find the LCM if the product of two numbers is 14440 and their HCF is 19.
Solution: Given
HCF = 19
Product of two numbers = 14440
We know that
LCM × HCF = Product of two numbers
LCM = Product of two numbers / HCF
LCM = 14440 / 19
LCM = 760
Therefore the LCM is 760.
Frequently Asked Questions on HCF of 95 and 152
What is the HCF of 95 and 152?
What are the methods used to find the HCF of 95 and 152?
There are three methods to find the HCF of 95 and 152. They are as follows:
Prime Factorisation
Long Division Method
Listing Common Factors
Is 15 the HCF of 95 and 152?
Find the HCF of 95 and 152 by prime factorisation.
We represent the given numbers as the product of prime factors to find the HCF using prime factorisation
95 = 5 × 19
152 = 2 × 2 × 2 × 19
Common prime factor of 95 and 152 is 19
Therefore, HCF of 95 and 152 is 19.
Comments