GCD of 955, 746, 909, 120 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 955, 746, 909, 120 i.e. 1 largest integer that divides all the numbers equally.

GCD of 955, 746, 909, 120 is 1

GCD(955, 746, 909, 120) = 1

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

GCD of

GCD of numbers 955, 746, 909, 120 is 1

GCD(955, 746, 909, 120) = 1

GCD of 955,746,909,120 Calculator

GCDof 955,746,909,120 is 1

Given Input numbers are 955, 746, 909, 120

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

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 746

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

1, 2, 373, 746

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 955, 746, 909, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 955, 746, 909, 120 is 1.

Therefore, GCD of numbers 955, 746, 909, 120 is 1

Finding GCD of 955, 746, 909, 120 using Prime Factorization

Given Input Data is 955, 746, 909, 120

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

Prime Factorization of 955 is 5 x 191

Prime Factorization of 746 is 2 x 373

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

Finding GCD of 955, 746, 909, 120 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(955, 746) = 712430

GCD(955, 746) = ( 955 x 746 ) / 712430

GCD(955, 746) = 712430 / 712430

GCD(955, 746) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 955, 746, 909, 120 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 955, 746, 909, 120

1. What is the GCD of 955, 746, 909, 120?

GCD of 955, 746, 909, 120 is 1


2. Where do I get the detailed procedure to find GCD of 955, 746, 909, 120?

You can find a detailed procedure to find GCD of 955, 746, 909, 120 on our page.


3. How to find GCD of 955, 746, 909, 120 on a calculator?

You can find the GCD of 955, 746, 909, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.