GCD of 974, 112, 167 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 974, 112, 167 i.e. 1 largest integer that divides all the numbers equally.

GCD of 974, 112, 167 is 1

GCD(974, 112, 167) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 974, 112, 167 is 1

GCD(974, 112, 167) = 1

GCD of 974,112,167 Calculator

GCDof 974,112,167 is 1

Given Input numbers are 974, 112, 167

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 974, 112, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 112, 167 is 1.

Therefore, GCD of numbers 974, 112, 167 is 1

Finding GCD of 974, 112, 167 using Prime Factorization

Given Input Data is 974, 112, 167

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 974 is 2 x 487

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 167 is 167

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 974, 112, 167 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(974, 112) = 54544

GCD(974, 112) = ( 974 x 112 ) / 54544

GCD(974, 112) = 109088 / 54544

GCD(974, 112) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 167

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 167) = 334

GCD(2, 167) = ( 2 x 167 ) / 334

GCD(2, 167) = 334 / 334

GCD(2, 167) = 1

GCD of 974, 112, 167 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 974, 112, 167

1. What is the GCD of 974, 112, 167?

GCD of 974, 112, 167 is 1


2. Where do I get the detailed procedure to find GCD of 974, 112, 167?

You can find a detailed procedure to find GCD of 974, 112, 167 on our page.


3. How to find GCD of 974, 112, 167 on a calculator?

You can find the GCD of 974, 112, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.