GCD of 57, 840, 746, 981 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 57, 840, 746, 981 i.e. 1 largest integer that divides all the numbers equally.

GCD of 57, 840, 746, 981 is 1

GCD(57, 840, 746, 981) = 1

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

GCD of

GCD of numbers 57, 840, 746, 981 is 1

GCD(57, 840, 746, 981) = 1

GCD of 57,840,746,981 Calculator

GCDof 57,840,746,981 is 1

Given Input numbers are 57, 840, 746, 981

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Greatest Common Divisior

We found the divisors of 57, 840, 746, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 840, 746, 981 is 1.

Therefore, GCD of numbers 57, 840, 746, 981 is 1

Finding GCD of 57, 840, 746, 981 using Prime Factorization

Given Input Data is 57, 840, 746, 981

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 746 is 2 x 373

Prime Factorization of 981 is 3 x 3 x 109

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

Finding GCD of 57, 840, 746, 981 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(57, 840) = 15960

GCD(57, 840) = ( 57 x 840 ) / 15960

GCD(57, 840) = 47880 / 15960

GCD(57, 840) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 746

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

LCM(3, 746) = 2238

GCD(3, 746) = ( 3 x 746 ) / 2238

GCD(3, 746) = 2238 / 2238

GCD(3, 746) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 981

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

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

GCD(1, 981) = 981 / 981

GCD(1, 981) = 1

GCD of 57, 840, 746, 981 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 57, 840, 746, 981

1. What is the GCD of 57, 840, 746, 981?

GCD of 57, 840, 746, 981 is 1


2. Where do I get the detailed procedure to find GCD of 57, 840, 746, 981?

You can find a detailed procedure to find GCD of 57, 840, 746, 981 on our page.


3. How to find GCD of 57, 840, 746, 981 on a calculator?

You can find the GCD of 57, 840, 746, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.