GCD of 908, 870, 520, 658 Calculator

Given Input numbers are 908, 870, 520, 658

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

Divisors of 908 :

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

1, 2, 4, 227, 454, 908

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (908, 870, 520, 658) = 2.

Given numbers are 908, 870, 520, 658

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 870 are 2 x 3 x 5 x 29

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

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 908, 870, 520, 658 is 2.

Given numbers are 908, 870, 520, 658

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

Apply this formula for all numbers.

Step1:

LCM(908, 870) = 394980

GCD(908, 870) = ( 908 x 870 ) / 394980

= 908 / 870

= 908

Step2:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2

Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

So, Greatest Common Divisor of 908, 870, 520, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 496, 357, 133
• GCD of 978, 477, 533, 741
• GCD of 988, 953, 498, 180
• GCD of 516, 877, 576, 677
• GCD of 724, 501, 400, 341

Given numbers are 908, 870, 520, 658
The greatest common divisor of numbers 908, 870, 520, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 870, 520, 658 is 2.

1. What is the GCD of 908, 870, 520, 658?

GCD of given numbers 908, 870, 520, 658 is 2

2. How to calculate the greatest common divisor of 908, 870, 520, 658?

We can find the highest common divisor of 908, 870, 520, 658 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 908, 870, 520, 658 i.e 2.

3. How can I use the GCD of 908, 870, 520, 658Calculator?

Out the numbers 908, 870, 520, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.