GCD of 948, 217, 972, 724 Calculator

Given Input numbers are 948, 217, 972, 724

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 948, 217, 972, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 217, 972, 724 is 1.

Therefore, GCD of numbers 948, 217, 972, 724 is 1

Given Input Data is 948, 217, 972, 724

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 217 is 7 x 31

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

Prime Factorization of 724 is 2 x 2 x 181

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(948, 217) = 205716

GCD(948, 217) = ( 948 x 217 ) / 205716

GCD(948, 217) = 205716 / 205716

GCD(948, 217) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 948, 217, 972, 724 is 1

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1. What is the GCD of 948, 217, 972, 724?

GCD of 948, 217, 972, 724 is 1

2. Where do I get the detailed procedure to find GCD of 948, 217, 972, 724?

You can find a detailed procedure to find GCD of 948, 217, 972, 724 on our page.

3. How to find GCD of 948, 217, 972, 724 on a calculator?

You can find the GCD of 948, 217, 972, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.