GCD of 902, 612, 684, 442 Calculator

Given Input numbers are 902, 612, 684, 442

In the factoring method, we have to find the divisors of all numbers

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (902, 612, 684, 442) = 2.

Given numbers are 902, 612, 684, 442

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 902, 612, 684, 442 is 2.

Given numbers are 902, 612, 684, 442

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(902, 612) = 276012

GCD(902, 612) = ( 902 x 612 ) / 276012

= 902 / 612

= 902

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 902, 612, 684, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 835, 257, 747
• GCD of 782, 287, 749, 369
• GCD of 225, 782, 426, 306
• GCD of 806, 433, 883, 609
• GCD of 298, 506, 962, 562

Given numbers are 902, 612, 684, 442
The greatest common divisor of numbers 902, 612, 684, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 612, 684, 442 is 2.

1. What is the GCD of 902, 612, 684, 442?

GCD of given numbers 902, 612, 684, 442 is 2

2. How to calculate the greatest common divisor of 902, 612, 684, 442?

We can find the highest common divisor of 902, 612, 684, 442 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 902, 612, 684, 442 i.e 2.

3. How can I use the GCD of 902, 612, 684, 442Calculator?

Out the numbers 902, 612, 684, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.