GCD of 902, 658, 504 Calculator

Given Input numbers are 902, 658, 504

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

Divisors of 902

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

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 902, 658, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 658, 504 is 2.

Therefore, GCD of numbers 902, 658, 504 is 2

Given Input Data is 902, 658, 504

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(902, 658) = 296758

GCD(902, 658) = ( 902 x 658 ) / 296758

GCD(902, 658) = 593516 / 296758

GCD(902, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 902, 658, 504 is 2

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1. What is the GCD of 902, 658, 504?

GCD of 902, 658, 504 is 2

2. Where do I get the detailed procedure to find GCD of 902, 658, 504?

You can find a detailed procedure to find GCD of 902, 658, 504 on our page.

3. How to find GCD of 902, 658, 504 on a calculator?

You can find the GCD of 902, 658, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.