GCD of 957, 177, 550, 714 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 957, 177, 550, 714 i.e. 1 largest integer that divides all the numbers equally.

GCD of 957, 177, 550, 714 is 1

GCD(957, 177, 550, 714) = 1

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

GCD of

GCD of numbers 957, 177, 550, 714 is 1

GCD(957, 177, 550, 714) = 1

GCD of 957,177,550,714 Calculator

GCDof 957,177,550,714 is 1

Given Input numbers are 957, 177, 550, 714

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

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 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 957, 177, 550, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 177, 550, 714 is 1.

Therefore, GCD of numbers 957, 177, 550, 714 is 1

Finding GCD of 957, 177, 550, 714 using Prime Factorization

Given Input Data is 957, 177, 550, 714

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

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 177 is 3 x 59

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 714 is 2 x 3 x 7 x 17

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

Finding GCD of 957, 177, 550, 714 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(957, 177) = 56463

GCD(957, 177) = ( 957 x 177 ) / 56463

GCD(957, 177) = 169389 / 56463

GCD(957, 177) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 550

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

LCM(3, 550) = 1650

GCD(3, 550) = ( 3 x 550 ) / 1650

GCD(3, 550) = 1650 / 1650

GCD(3, 550) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 957, 177, 550, 714 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 957, 177, 550, 714

1. What is the GCD of 957, 177, 550, 714?

GCD of 957, 177, 550, 714 is 1


2. Where do I get the detailed procedure to find GCD of 957, 177, 550, 714?

You can find a detailed procedure to find GCD of 957, 177, 550, 714 on our page.


3. How to find GCD of 957, 177, 550, 714 on a calculator?

You can find the GCD of 957, 177, 550, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.