The HCF of 25 and 36 is 1. We can divide the numbers 25 and 36 evenly by the HCF. The experts use simple language to explain these concepts in order to help students learn the concepts with ease. The factors of 25 are 1, 5, 25, and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. The HCF of 25 and 36 can be determined using prime factorisation, long division and listing common factors, as given in this article.
Also read: Highest common factor
What is the HCF of 25 and 36?
The answer to this question is 1. Various methods to find the HCF of 25 and 36 are given in a precise way in this article. The HCF of 25 and 36 is 1, which divides the given numbers.
How to Find HCF of 25 and 36?
The methods used to get the HCF of 25 and 36 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 25 and 36 by Prime Factorisation Method
The prime factorisation of 25 and 36 is:
25 = 5 × 5
36 = 2 × 2 × 3 × 3
There are no common prime factors.
There are no common prime factors of 25 and 36.
Hence, HCF (25, 36) = 1
HCF of 25 and 36 by Long Division Method
With the help of division, the numbers (25, 36) have to be divided using their factors to get the HCF. The HCF of 25 and 36 is the divisor we obtain when the remainder is zero after repeated division.
No further division can be done.
Hence, HCF (25, 36) = 1
HCF of 25 and 36 by Listing Common Factors
The HCF of 25 and 36 by listing common factors is available here.
Factors of 25: 1, 5, 25
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
There is only 1 common factor between 25 and 36, and it is 1.
Therefore, the highest common factor of 25 and 36 is 1.
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Video Lesson on Properties of HCF and LCM
HCF of 25 and 36 Solved Example
Question: If HCF = 1 and product of two numbers = 900, find the LCM.
Solution:
Given,
HCF = 1
Product = 900
We know that,
HCF × LCM = Product
LCM = Product/HCF
LCM = 900/1
LCM = 900
Hence, the LCM is 900.
Frequently Asked Questions on HCF of 25 and 36
What is the HCF of 25 and 36?
Find the HCF of 25 and 36 using the long division method.
List the methods used to find HCF of 25 and 36.
In 10, 1, 20, 150, 125, 55, find the HCF of 25 and 36.
What is the relation between HCF and LCM of 25 and 36?
The relation between HCF and LCM of 25 and 36 is:
HCF × LCM = 25 × 36
HCF × LCM = 900
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