The HCF of 15 and 35 is 5. The number which equally divides 15 and 35 is the HCF. The experts explain even the minute topic in the simplest way possible to improve the hold on the subject. The factors of 15 are 1, 3, 5, 15, and the factors of 35 are 1, 5, 7, 35. The HCF of 15 and 35 found with the help of prime factorisation, long division and listing common factors are given in this article.
Also read: Highest common factor
What is the HCF of 15 and 35?
The answer to this question is 5. The methods which can be used to find the HCF of 15 and 35 are discussed here. The HCF of 15 and 35 is 5, which divides the two given numbers.
How to Find HCF of 15 and 35?
The methods to get the value of HCF of 15 and 35 is:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 15 and 35 by Prime Factorisation Method
The prime factorisation of 15 and 35 is:
15 = 3 × 5
35 = 5 × 7
Common prime factors of 15 and 35 = 5
Hence, HCF (15, 35) = 5
HCF of 15 and 35 by Long Division Method
Using the long division method, the numbers (15, 35) divided by their factors will help you to get the HCF. The HCF of 15 and 35 is the divisor after repeated division with the remainder as zero.
No further division can be done.
Hence, HCF (15, 35) = 5
HCF of 15 and 35 by Listing Common Factors
The HCF of 15 and 35 by listing common factors is:
Factors of 15: 1, 3, 5, 15
Factors of 35: 1, 5, 7, 35
There are 2 common factors of 15 and 35, and they are 1 and 5.
Therefore, the highest common factor of 15 and 35 is 5.
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Video Lesson on Properties of HCF and LCM
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HCF of 15 and 35 Solved Example
Question: If HCF = 5 and product of two numbers = 525, find the LCM.
Solution:
Given
HCF = 5
Product = 525
We know that
HCF × LCM = Product
LCM = Product/HCF
LCM = 525/5
LCM = 105
Hence, the LCM is 105.
Frequently Asked Questions on HCF of 15 and 35
What is the HCF of 15 and 35?
Find the HCF of 15 and 35 using the long division method.
What are the methods used to find HCF of 15 and 35?
In 30, 5, 129, 150, 116, 29, find the HCF of 15 and 35.
Mention the relation between HCF and LCM of 15 and 35.
The relation between HCF and LCM of 15 and 35 is
HCF × LCM = 15 × 35
HCF × LCM = 525
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