GCD of 547, 324, 972, 715 Calculator

Given Input numbers are 547, 324, 972, 715

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

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

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

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 547, 324, 972, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 324, 972, 715 is 1.

Therefore, GCD of numbers 547, 324, 972, 715 is 1

Given Input Data is 547, 324, 972, 715

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

Prime Factorization of 547 is 547

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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

Prime Factorization of 715 is 5 x 11 x 13

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(547, 324) = 177228

GCD(547, 324) = ( 547 x 324 ) / 177228

GCD(547, 324) = 177228 / 177228

GCD(547, 324) = 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 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 547, 324, 972, 715 is 1

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1. What is the GCD of 547, 324, 972, 715?

GCD of 547, 324, 972, 715 is 1

2. Where do I get the detailed procedure to find GCD of 547, 324, 972, 715?

You can find a detailed procedure to find GCD of 547, 324, 972, 715 on our page.

3. How to find GCD of 547, 324, 972, 715 on a calculator?

You can find the GCD of 547, 324, 972, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.