GCD of 364, 625, 921, 902 Calculator

Given Input numbers are 364, 625, 921, 902

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 364, 625, 921, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 625, 921, 902 is 1.

Therefore, GCD of numbers 364, 625, 921, 902 is 1

Given Input Data is 364, 625, 921, 902

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 921 is 3 x 307

Prime Factorization of 902 is 2 x 11 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(364, 625) = 227500

GCD(364, 625) = ( 364 x 625 ) / 227500

GCD(364, 625) = 227500 / 227500

GCD(364, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 364, 625, 921, 902 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 390, 450, 447
• GCD of 931, 925, 167, 736
• GCD of 207, 837, 663, 904
• GCD of 194, 948, 981, 332
• GCD of 273, 208, 258, 272

1. What is the GCD of 364, 625, 921, 902?

GCD of 364, 625, 921, 902 is 1

2. Where do I get the detailed procedure to find GCD of 364, 625, 921, 902?

You can find a detailed procedure to find GCD of 364, 625, 921, 902 on our page.

3. How to find GCD of 364, 625, 921, 902 on a calculator?

You can find the GCD of 364, 625, 921, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.