GCD of 684, 908, 520, 132 Calculator

Given Input numbers are 684, 908, 520, 132

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

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (684, 908, 520, 132) = 4.

Given numbers are 684, 908, 520, 132

The list of prime factors of all numbers are

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

Prime factors of 908 are 2 x 2 x 227

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 2²

Therefore, GCD of 684, 908, 520, 132 is 4.

Given numbers are 684, 908, 520, 132

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

Apply this formula for all numbers.

Step1:

LCM(684, 908) = 155268

GCD(684, 908) = ( 684 x 908 ) / 155268

= 684 / 908

= 684

Step2:

LCM(4, 520) = 520

GCD(4, 520) = ( 4 x 520 ) / 520

= 4 / 520

= 4

Step3:

LCM(4, 132) = 132

GCD(4, 132) = ( 4 x 132 ) / 132

= 4 / 132

= 4

So, Greatest Common Divisor of 684, 908, 520, 132 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 590, 841, 659
• GCD of 424, 212, 933, 203
• GCD of 625, 204, 635, 985
• GCD of 130, 597, 619, 563
• GCD of 449, 238, 731, 531

Given numbers are 684, 908, 520, 132
The greatest common divisor of numbers 684, 908, 520, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 908, 520, 132 is 4.

1. What is the GCD of 684, 908, 520, 132?

GCD of given numbers 684, 908, 520, 132 is 4

2. How to calculate the greatest common divisor of 684, 908, 520, 132?

We can find the highest common divisor of 684, 908, 520, 132 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 684, 908, 520, 132 i.e 4.

3. How can I use the GCD of 684, 908, 520, 132Calculator?

Out the numbers 684, 908, 520, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.