The HCF of 5 and 10 is 5. The integer which can divide the numbers 5 and 10 is the HCF. The experts make use of simple steps in order to enhance the conceptual knowledge of students. The factors of 5 and 10 are 1, 5 and 1, 2, 5, and 10, respectively. You can determine the HCF value of the two given numbers using prime factorisation, long division and listing common factors.
What is the HCF of 5 and 10?
The answer to this question is 5. The steps to be followed to get the HCF value of 5 and 10 using methods listing common factors, prime factorisation and long division are given in this article for your reference. The HCF of 5 and 10 is 5, which divides the numbers exactly.
Also read: Highest common factor
How to Find HCF of 5 and 10?
The methods to determine the HCF of 5 and 10 are as follows:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 5 and 10 by Prime Factorisation Method
The prime factorisation of 5 and 10 is given by:
5 = 5
10 = 2 × 5
Common prime factors of 5 and 10 = 5
Therefore, HCF (5, 10) = 5
HCF of 5 and 10 by Long Division Method
The HCF of 5 and 10 can be obtained by dividing the numbers by their prime factors. The divisor value 5 we get with 0 as the remainder indicates the HCF.
No further division can be done.
Hence, HCF (5, 10) = 5
HCF of 5 and 10 by Listing the Factors
You can calculate the HCF of 5 and 10 by listing the common factors as given below:
Factors of 5: 1, 5
Factors of 10: 1, 2, 5, 10
There are 2 common factors of 5 and 10, and they are 1 and 5.
Therefore, the highest common factor of 5 and 10 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 5 and 10 Solved Example
Question: HCF = 5 and product of two numbers = 50, find the LCM.
Solution:
Given
HCF = 5
Product = 50
We know that,
HCF × LCM = Product
LCM = Product/HCF
LCM = 50/5
LCM = 10
Hence, the LCM is 10.
Frequently Asked Questions on HCF of 5 and 10
What is the HCF of 5 and 10?
How can we find the HCF of 5 and 10 with the help of the long division method?
Which methods can be used to find HCF of 5 and 10?
If LCM = 10 and HCF = 5 for two numbers, determine the other number when one number is 10.
Consider y as the other number
Given LCM = 10 and HCF = 5
HCF × LCM = 10 × y
y = (HCF × LCM)/ 10
y = (5 × 10)/ 10
y = 5
Therefore, the other number is 5.
Show the relation between HCF and LCM of 5 and 10.
The relation between HCF and LCM of 5 and 10 is
HCF × LCM = 5 × 10
HCF × LCM = 50
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