GCD of 358, 938, 297, 972 Calculator

Given Input numbers are 358, 938, 297, 972

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

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 358, 938, 297, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 938, 297, 972 is 1.

Therefore, GCD of numbers 358, 938, 297, 972 is 1

Given Input Data is 358, 938, 297, 972

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(358, 938) = 167902

GCD(358, 938) = ( 358 x 938 ) / 167902

GCD(358, 938) = 335804 / 167902

GCD(358, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 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 358, 938, 297, 972 is 1

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1. What is the GCD of 358, 938, 297, 972?

GCD of 358, 938, 297, 972 is 1

2. Where do I get the detailed procedure to find GCD of 358, 938, 297, 972?

You can find a detailed procedure to find GCD of 358, 938, 297, 972 on our page.

3. How to find GCD of 358, 938, 297, 972 on a calculator?

You can find the GCD of 358, 938, 297, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.