HCF of 15 and 16

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.

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

Q1

What is the HCF of 15 and 16?

The HCF of 15 and 16 is 1.
Q2

To find the HCF, list the factors of 15 and 16.

The factors of 15 and 16 are 1, 3, 5, 15, and 1, 2, 4, 8, 16, respectively.
Q3

What methods can we use to find HCF 15 and 16?

The methods we can use to find the HCF of 15 and 16 are Long Division, Listing Common Factors and Prime Factorisation.
Q4

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.

Q5

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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