GCD of 274, 977, 72, 325 Calculator

Given Input numbers are 274, 977, 72, 325

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

Divisors of 274

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

1, 2, 137, 274

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 274, 977, 72, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 977, 72, 325 is 1.

Therefore, GCD of numbers 274, 977, 72, 325 is 1

Given Input Data is 274, 977, 72, 325

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 977 is 977

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 325 is 5 x 5 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(274, 977) = 267698

GCD(274, 977) = ( 274 x 977 ) / 267698

GCD(274, 977) = 267698 / 267698

GCD(274, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

GCD of 274, 977, 72, 325 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 202, 20, 640
• GCD of 147, 538, 99, 676
• GCD of 194, 457, 83, 827
• GCD of 272, 942, 44, 774
• GCD of 904, 268, 67, 415

1. What is the GCD of 274, 977, 72, 325?

GCD of 274, 977, 72, 325 is 1

2. Where do I get the detailed procedure to find GCD of 274, 977, 72, 325?

You can find a detailed procedure to find GCD of 274, 977, 72, 325 on our page.

3. How to find GCD of 274, 977, 72, 325 on a calculator?

You can find the GCD of 274, 977, 72, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.