GCD of 956, 942, 53 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 956, 942, 53 i.e. 1 largest integer that divides all the numbers equally.

GCD of 956, 942, 53 is 1

GCD(956, 942, 53) = 1

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

GCD of

GCD of numbers 956, 942, 53 is 1

GCD(956, 942, 53) = 1

GCD of 956,942,53 Calculator

GCDof 956,942,53 is 1

Given Input numbers are 956, 942, 53

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 956, 942, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 942, 53 is 1.

Therefore, GCD of numbers 956, 942, 53 is 1

Finding GCD of 956, 942, 53 using Prime Factorization

Given Input Data is 956, 942, 53

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 53 is 53

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

Finding GCD of 956, 942, 53 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(956, 942) = 450276

GCD(956, 942) = ( 956 x 942 ) / 450276

GCD(956, 942) = 900552 / 450276

GCD(956, 942) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

GCD of 956, 942, 53 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 956, 942, 53

1. What is the GCD of 956, 942, 53?

GCD of 956, 942, 53 is 1


2. Where do I get the detailed procedure to find GCD of 956, 942, 53?

You can find a detailed procedure to find GCD of 956, 942, 53 on our page.


3. How to find GCD of 956, 942, 53 on a calculator?

You can find the GCD of 956, 942, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.