GCD of 902, 659, 854, 684 Calculator

Given Input numbers are 902, 659, 854, 684

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 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 902, 659, 854, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 659, 854, 684 is 1.

Therefore, GCD of numbers 902, 659, 854, 684 is 1

Given Input Data is 902, 659, 854, 684

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 659 is 659

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(902, 659) = 594418

GCD(902, 659) = ( 902 x 659 ) / 594418

GCD(902, 659) = 594418 / 594418

GCD(902, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 902, 659, 854, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 271, 487, 477
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• GCD of 670, 276, 195, 100
• GCD of 407, 977, 678, 921
• GCD of 165, 954, 395, 746

1. What is the GCD of 902, 659, 854, 684?

GCD of 902, 659, 854, 684 is 1

2. Where do I get the detailed procedure to find GCD of 902, 659, 854, 684?

You can find a detailed procedure to find GCD of 902, 659, 854, 684 on our page.

3. How to find GCD of 902, 659, 854, 684 on a calculator?

You can find the GCD of 902, 659, 854, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.