GCD of 972, 521, 49, 295 Calculator

Given Input numbers are 972, 521, 49, 295

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

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 295

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

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 972, 521, 49, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 521, 49, 295 is 1.

Therefore, GCD of numbers 972, 521, 49, 295 is 1

Given Input Data is 972, 521, 49, 295

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

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

Prime Factorization of 521 is 521

Prime Factorization of 49 is 7 x 7

Prime Factorization of 295 is 5 x 59

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(972, 521) = 506412

GCD(972, 521) = ( 972 x 521 ) / 506412

GCD(972, 521) = 506412 / 506412

GCD(972, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 972, 521, 49, 295 is 1

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• GCD of 565, 587, 32, 617
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1. What is the GCD of 972, 521, 49, 295?

GCD of 972, 521, 49, 295 is 1

2. Where do I get the detailed procedure to find GCD of 972, 521, 49, 295?

You can find a detailed procedure to find GCD of 972, 521, 49, 295 on our page.

3. How to find GCD of 972, 521, 49, 295 on a calculator?

You can find the GCD of 972, 521, 49, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.