GCD of 970, 940, 625 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 970, 940, 625 i.e. 5 largest integer that divides all the numbers equally.

GCD of 970, 940, 625 is 5

GCD(970, 940, 625) = 5

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

GCD of

GCD of numbers 970, 940, 625 is 5

GCD(970, 940, 625) = 5

GCD of 970,940,625 Calculator

GCDof 970,940,625 is 5

Given Input numbers are 970, 940, 625

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Greatest Common Divisior

We found the divisors of 970, 940, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 940, 625 is 5.

Therefore, GCD of numbers 970, 940, 625 is 5

Finding GCD of 970, 940, 625 using Prime Factorization

Given Input Data is 970, 940, 625

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 625 is 5 x 5 x 5 x 5

Highest common occurrences in the given inputs are 51

Multiplying them we get the GCD as 5

Finding GCD of 970, 940, 625 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(970, 940) = 91180

GCD(970, 940) = ( 970 x 940 ) / 91180

GCD(970, 940) = 911800 / 91180

GCD(970, 940) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 625

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

LCM(10, 625) = 1250

GCD(10, 625) = ( 10 x 625 ) / 1250

GCD(10, 625) = 6250 / 1250

GCD(10, 625) = 5

GCD of 970, 940, 625 is 5

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FAQs on GCD of numbers 970, 940, 625

1. What is the GCD of 970, 940, 625?

GCD of 970, 940, 625 is 5

2. Where do I get the detailed procedure to find GCD of 970, 940, 625?

You can find a detailed procedure to find GCD of 970, 940, 625 on our page.

3. How to find GCD of 970, 940, 625 on a calculator?

You can find the GCD of 970, 940, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.