GCD of 132, 945, 950, 357 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 132, 945, 950, 357 i.e. 1 largest integer that divides all the numbers equally.

GCD of 132, 945, 950, 357 is 1

GCD(132, 945, 950, 357) = 1

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

GCD of

GCD of numbers 132, 945, 950, 357 is 1

GCD(132, 945, 950, 357) = 1

GCD of 132,945,950,357 Calculator

GCDof 132,945,950,357 is 1

Given Input numbers are 132, 945, 950, 357

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 132, 945, 950, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 945, 950, 357 is 1.

Therefore, GCD of numbers 132, 945, 950, 357 is 1

Finding GCD of 132, 945, 950, 357 using Prime Factorization

Given Input Data is 132, 945, 950, 357

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 357 is 3 x 7 x 17

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

Finding GCD of 132, 945, 950, 357 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(132, 945) = 41580

GCD(132, 945) = ( 132 x 945 ) / 41580

GCD(132, 945) = 124740 / 41580

GCD(132, 945) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 950

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

LCM(3, 950) = 2850

GCD(3, 950) = ( 3 x 950 ) / 2850

GCD(3, 950) = 2850 / 2850

GCD(3, 950) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 132, 945, 950, 357 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 132, 945, 950, 357

1. What is the GCD of 132, 945, 950, 357?

GCD of 132, 945, 950, 357 is 1


2. Where do I get the detailed procedure to find GCD of 132, 945, 950, 357?

You can find a detailed procedure to find GCD of 132, 945, 950, 357 on our page.


3. How to find GCD of 132, 945, 950, 357 on a calculator?

You can find the GCD of 132, 945, 950, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.