The HCF of 15 and 16 is 1. The positive integer, which divides 15 and 16, gives the HCF of the two numbers. The factors of 15 are 1, 3, 5, 15, and the factors of 16 are 1, 2, 4, 8, 16. The methods like prime factorisation, long division and listing common factors used to find the HCF are explained clearly. For a good hold on the basic topics in Maths, students are recommended to go through this article.
Also read: Highest common factor
What is the HCF of 15 and 16?
The answer to this question is 1. The methods used to find the HCF of two numbers are explained well in this article. The HCF of 15 and 16 is 1, which divides both 15 and 16 evenly.
How to Find HCF of 15 and 16?
The methods used to find the HCF of 15 and 16 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 15 and 16 by Prime Factorisation Method
The prime factorisation of 15 and 16 is:
15= 3 × 5
16 = 2 × 2 × 2 × 2
There is no common prime factor between 15 and 16.
Therefore, HCF (15, 16) = 1
HCF of 15 and 16 by Long Division Method
Using the prime factors, the (15, 16) should be divided to determine the HCF value. The divisor when the remainder is zero after repeated long division is the HCF of 15 and 16.
No further division can be done.
Hence, HCF (15, 16) = 1
HCF of 15 and 16 by Listing Common Factors
The steps to find the value of HCF of 15 and 16 by listing common factors are provided here:
Factors of 15: 1, 3, 5, 15
Factors of 16: 1, 2, 4, 8, 16
There is 1 common factor of 15 and 16, and it is 1.
Therefore, the highest common factor of 15 and 16 is 1.
Related Articles
Video Lesson on Properties of HCF and LCM
HCF of 15 and 16 Solved Example
Question: Calculate the HCF of 15 and 16 if the LCM is 240.
Solution:
Given
LCM = 240
We know that,
HCF × LCM = 15 × 16
HCF = (15 × 16)/240 = 1
Hence, the HCF is 1.
Frequently Asked Questions on HCF of 15 and 16
What is the HCF of 15 and 16?
To find the HCF, list the factors of 15 and 16.
What methods can we use to find HCF 15 and 16?
If LCM = 240 and HCF = 1 for two numbers, determine the other number when one number is 16.
Consider y as the other number
Given LCM = 240 and HCF = 1
HCF × LCM = 16 x y
y = (HCF × LCM)/16
y = (1 × 240)/16
y = 15
Therefore, the other number is 15.
If the product of two numbers is 240 and the HCF is 1, find the LCM.
Given
Product = 240
HCF = 1
HCF × LCM = Product
LCM = Product/HCF
LCM = 240/1
LCM = 240
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