GCD of 870, 928, 708, 484 Calculator

Given Input numbers are 870, 928, 708, 484

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

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 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (870, 928, 708, 484) = 2.

Given numbers are 870, 928, 708, 484

The list of prime factors of all numbers are

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

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 484 are 2 x 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 870, 928, 708, 484 is 2.

Given numbers are 870, 928, 708, 484

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

Apply this formula for all numbers.

Step1:

LCM(870, 928) = 13920

GCD(870, 928) = ( 870 x 928 ) / 13920

= 870 / 928

= 870

Step2:

LCM(58, 708) = 20532

GCD(58, 708) = ( 58 x 708 ) / 20532

= 58 / 708

= 58

Step3:

LCM(2, 484) = 484

GCD(2, 484) = ( 2 x 484 ) / 484

= 2 / 484

= 2

So, Greatest Common Divisor of 870, 928, 708, 484 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 656, 725, 304
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Given numbers are 870, 928, 708, 484
The greatest common divisor of numbers 870, 928, 708, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 928, 708, 484 is 2.

1. What is the GCD of 870, 928, 708, 484?

GCD of given numbers 870, 928, 708, 484 is 2

2. How to calculate the greatest common divisor of 870, 928, 708, 484?

We can find the highest common divisor of 870, 928, 708, 484 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 870, 928, 708, 484 i.e 2.

3. How can I use the GCD of 870, 928, 708, 484Calculator?

Out the numbers 870, 928, 708, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.