GCD of 576, 870, 90, 908 Calculator

Given Input numbers are 576, 870, 90, 908

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 908 :

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

1, 2, 4, 227, 454, 908

GCD of numbers is the greatest common divisor

So, the GCD (576, 870, 90, 908) = 2.

Given numbers are 576, 870, 90, 908

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 576, 870, 90, 908 is 2.

Given numbers are 576, 870, 90, 908

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

Apply this formula for all numbers.

Step1:

LCM(576, 870) = 83520

GCD(576, 870) = ( 576 x 870 ) / 83520

= 576 / 870

= 576

Step2:

LCM(6, 90) = 90

GCD(6, 90) = ( 6 x 90 ) / 90

= 6 / 90

= 6

Step3:

LCM(6, 908) = 2724

GCD(6, 908) = ( 6 x 908 ) / 2724

= 6 / 908

= 6

So, Greatest Common Divisor of 576, 870, 90, 908 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 351, 63, 738
• GCD of 944, 743, 89, 847
• GCD of 588, 143, 34, 884
• GCD of 623, 502, 32, 111
• GCD of 893, 617, 17, 937

Given numbers are 576, 870, 90, 908
The greatest common divisor of numbers 576, 870, 90, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 870, 90, 908 is 2.

1. What is the GCD of 576, 870, 90, 908?

GCD of given numbers 576, 870, 90, 908 is 2

2. How to calculate the greatest common divisor of 576, 870, 90, 908?

We can find the highest common divisor of 576, 870, 90, 908 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 576, 870, 90, 908 i.e 2.

3. How can I use the GCD of 576, 870, 90, 908Calculator?

Out the numbers 576, 870, 90, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.