GCD of 725, 972, 274, 164 Calculator

Given Input numbers are 725, 972, 274, 164

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

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 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 725, 972, 274, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 972, 274, 164 is 1.

Therefore, GCD of numbers 725, 972, 274, 164 is 1

Given Input Data is 725, 972, 274, 164

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

Prime Factorization of 725 is 5 x 5 x 29

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 164 is 2 x 2 x 41

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(725, 972) = 704700

GCD(725, 972) = ( 725 x 972 ) / 704700

GCD(725, 972) = 704700 / 704700

GCD(725, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 725, 972, 274, 164 is 1

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1. What is the GCD of 725, 972, 274, 164?

GCD of 725, 972, 274, 164 is 1

2. Where do I get the detailed procedure to find GCD of 725, 972, 274, 164?

You can find a detailed procedure to find GCD of 725, 972, 274, 164 on our page.

3. How to find GCD of 725, 972, 274, 164 on a calculator?

You can find the GCD of 725, 972, 274, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.