GCD of 747, 427, 917, 162 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 747, 427, 917, 162 i.e. 1 largest integer that divides all the numbers equally.

GCD of 747, 427, 917, 162 is 1

GCD(747, 427, 917, 162) = 1

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

GCD of

GCD of numbers 747, 427, 917, 162 is 1

GCD(747, 427, 917, 162) = 1

GCD of 747,427,917,162 Calculator

GCDof 747,427,917,162 is 1

Given Input numbers are 747, 427, 917, 162

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 747, 427, 917, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 427, 917, 162 is 1.

Therefore, GCD of numbers 747, 427, 917, 162 is 1

Finding GCD of 747, 427, 917, 162 using Prime Factorization

Given Input Data is 747, 427, 917, 162

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 427 is 7 x 61

Prime Factorization of 917 is 7 x 131

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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

Finding GCD of 747, 427, 917, 162 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(747, 427) = 318969

GCD(747, 427) = ( 747 x 427 ) / 318969

GCD(747, 427) = 318969 / 318969

GCD(747, 427) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 747, 427, 917, 162 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 747, 427, 917, 162

1. What is the GCD of 747, 427, 917, 162?

GCD of 747, 427, 917, 162 is 1


2. Where do I get the detailed procedure to find GCD of 747, 427, 917, 162?

You can find a detailed procedure to find GCD of 747, 427, 917, 162 on our page.


3. How to find GCD of 747, 427, 917, 162 on a calculator?

You can find the GCD of 747, 427, 917, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.