The HCF of 10 and 15 is 5. The value which divides the numbers 10 and 15 evenly is the HCF value. The factors of 10 are 1, 2, 5 and 10, and the factors of 15 are 1, 3, 5 and 15. The HCF of the numbers 10 and 15 can be found effortlessly using the prime factorisation method, long division method and by listing the common factors.
Also read: Highest common factor
What is the HCF of 10 and 15?
The answer to this question is 5. The HCF of 10 and 15 using certain methods are discussed here in a comprehensive way. The HCF of 10 and 15 is 5, which divides the numbers 10 and 15 evenly.
How to Find HCF of 10 and 15?
There are three methods to find the HCF of 10 and 15, and they are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 10 and 15 by Prime Factorisation Method
The prime factorisation of 10 and 15 is given by:
10 = 2 × 5
15 = 3 × 5
Common prime factors of 10 and 15 = 5
Hence, HCF (10, 15) = 5
HCF of 10 and 15 by Long Division Method
The numbers (10, 15) have to be divided by the prime factors to get the HCF of 10 and 15. The HCF of 10 and 15 is the divisor we get when the remainder is zero after a long division.
No further division can be done.
Hence, HCF (10, 15) = 5
HCF of 10 and 15 by Listing Common Factors
To determine the HCF of 10 and 15, the common factors have to be written as shown below:
Factors of 10: 1, 2, 5, 10
Factors of 15: 1, 3, 5, 15
There are 2 common factors of 10 and 15, which are 1 and 5.
Therefore, the highest common factor of 10 and 15 is 5.
Related Articles
- Prime Factorisation Calculator
- Properties of HCF and LCM
- Prime Factorisation and Division Method for HCF and LCM
- Prime Factorisation
- GCD Calculator
Video Lesson on Properties of HCF and LCM
HCF of 10 and 15 Solved Example
Question: What is the HCF of 10 and 15 if the LCM is 30?
Solution:
Given
LCM = 30
We know that
HCF × LCM = 10 × 15
HCF = (10 × 15)/30
HCF = 5
Hence, the HCF of 10 and 15 is 5.
Frequently Asked Questions on HCF of 10 and 15
What is the HCF of 10 and 15?
How to calculate the HCF of 10 and 15 using the long division method?
List the methods to find HCF of 10 and 15.
If LCM = 30 and HCF = 5 for two numbers, find the other number when one number is 10.
Consider y as the other number
Given LCM = 30 and HCF = 5
HCF × LCM = 10 x y
y = (HCF × LCM)/10
y = (5 × 30)/10
y = 15
Therefore, the other number is 15.
Show the relation between HCF and LCM of 10 and 15.
The relation between HCF and LCM of 10 and 15 is
HCF × LCM = 10 × 15
HCF × LCM = 150
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