GCD of 975, 980, 64, 196 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 975, 980, 64, 196 i.e. 1 largest integer that divides all the numbers equally.

GCD of 975, 980, 64, 196 is 1

GCD(975, 980, 64, 196) = 1

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

GCD of

GCD of numbers 975, 980, 64, 196 is 1

GCD(975, 980, 64, 196) = 1

GCD of 975,980,64,196 Calculator

GCDof 975,980,64,196 is 1

Given Input numbers are 975, 980, 64, 196

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 975, 980, 64, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 980, 64, 196 is 1.

Therefore, GCD of numbers 975, 980, 64, 196 is 1

Finding GCD of 975, 980, 64, 196 using Prime Factorization

Given Input Data is 975, 980, 64, 196

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 196 is 2 x 2 x 7 x 7

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

Finding GCD of 975, 980, 64, 196 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(975, 980) = 191100

GCD(975, 980) = ( 975 x 980 ) / 191100

GCD(975, 980) = 955500 / 191100

GCD(975, 980) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 64

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

LCM(5, 64) = 320

GCD(5, 64) = ( 5 x 64 ) / 320

GCD(5, 64) = 320 / 320

GCD(5, 64) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

GCD of 975, 980, 64, 196 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 975, 980, 64, 196

1. What is the GCD of 975, 980, 64, 196?

GCD of 975, 980, 64, 196 is 1


2. Where do I get the detailed procedure to find GCD of 975, 980, 64, 196?

You can find a detailed procedure to find GCD of 975, 980, 64, 196 on our page.


3. How to find GCD of 975, 980, 64, 196 on a calculator?

You can find the GCD of 975, 980, 64, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.