GCD of 295, 334, 425, 972 Calculator

Given Input numbers are 295, 334, 425, 972

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 295, 334, 425, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 334, 425, 972 is 1.

Therefore, GCD of numbers 295, 334, 425, 972 is 1

Given Input Data is 295, 334, 425, 972

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 334 is 2 x 167

Prime Factorization of 425 is 5 x 5 x 17

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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

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(295, 334) = 98530

GCD(295, 334) = ( 295 x 334 ) / 98530

GCD(295, 334) = 98530 / 98530

GCD(295, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 295, 334, 425, 972 is 1

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1. What is the GCD of 295, 334, 425, 972?

GCD of 295, 334, 425, 972 is 1

2. Where do I get the detailed procedure to find GCD of 295, 334, 425, 972?

You can find a detailed procedure to find GCD of 295, 334, 425, 972 on our page.

3. How to find GCD of 295, 334, 425, 972 on a calculator?

You can find the GCD of 295, 334, 425, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.