GCD of 40, 957, 772, 175 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 40, 957, 772, 175 i.e. 1 largest integer that divides all the numbers equally.

GCD of 40, 957, 772, 175 is 1

GCD(40, 957, 772, 175) = 1

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

GCD of

GCD of numbers 40, 957, 772, 175 is 1

GCD(40, 957, 772, 175) = 1

GCD of 40,957,772,175 Calculator

GCDof 40,957,772,175 is 1

Given Input numbers are 40, 957, 772, 175

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 40, 957, 772, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 957, 772, 175 is 1.

Therefore, GCD of numbers 40, 957, 772, 175 is 1

Finding GCD of 40, 957, 772, 175 using Prime Factorization

Given Input Data is 40, 957, 772, 175

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 175 is 5 x 5 x 7

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

Finding GCD of 40, 957, 772, 175 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(40, 957) = 38280

GCD(40, 957) = ( 40 x 957 ) / 38280

GCD(40, 957) = 38280 / 38280

GCD(40, 957) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 40, 957, 772, 175 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 40, 957, 772, 175

1. What is the GCD of 40, 957, 772, 175?

GCD of 40, 957, 772, 175 is 1


2. Where do I get the detailed procedure to find GCD of 40, 957, 772, 175?

You can find a detailed procedure to find GCD of 40, 957, 772, 175 on our page.


3. How to find GCD of 40, 957, 772, 175 on a calculator?

You can find the GCD of 40, 957, 772, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.