GCD of 974, 257, 25 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 974, 257, 25 i.e. 1 largest integer that divides all the numbers equally.

GCD of 974, 257, 25 is 1

GCD(974, 257, 25) = 1

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

GCD of

GCD of numbers 974, 257, 25 is 1

GCD(974, 257, 25) = 1

GCD of 974,257,25 Calculator

GCDof 974,257,25 is 1

Given Input numbers are 974, 257, 25

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Greatest Common Divisior

We found the divisors of 974, 257, 25 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 257, 25 is 1.

Therefore, GCD of numbers 974, 257, 25 is 1

Finding GCD of 974, 257, 25 using Prime Factorization

Given Input Data is 974, 257, 25

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 257 is 257

Prime Factorization of 25 is 5 x 5

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

Finding GCD of 974, 257, 25 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(974, 257) = 250318

GCD(974, 257) = ( 974 x 257 ) / 250318

GCD(974, 257) = 250318 / 250318

GCD(974, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

GCD of 974, 257, 25 is 1

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FAQs on GCD of numbers 974, 257, 25

1. What is the GCD of 974, 257, 25?

GCD of 974, 257, 25 is 1

2. Where do I get the detailed procedure to find GCD of 974, 257, 25?

You can find a detailed procedure to find GCD of 974, 257, 25 on our page.

3. How to find GCD of 974, 257, 25 on a calculator?

You can find the GCD of 974, 257, 25 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.