GCD of 500, 756, 480, 908 Calculator

Given Input numbers are 500, 756, 480, 908

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 (500, 756, 480, 908) = 4.

Given numbers are 500, 756, 480, 908

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 2²

Therefore, GCD of 500, 756, 480, 908 is 4.

Given numbers are 500, 756, 480, 908

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

Apply this formula for all numbers.

Step1:

LCM(500, 756) = 94500

GCD(500, 756) = ( 500 x 756 ) / 94500

= 500 / 756

= 500

Step2:

LCM(4, 480) = 480

GCD(4, 480) = ( 4 x 480 ) / 480

= 4 / 480

= 4

Step3:

LCM(4, 908) = 908

GCD(4, 908) = ( 4 x 908 ) / 908

= 4 / 908

= 4

So, Greatest Common Divisor of 500, 756, 480, 908 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 819, 910, 714
• GCD of 700, 638, 741, 282
• GCD of 520, 105, 744, 931
• GCD of 538, 968, 272, 940
• GCD of 676, 930, 672, 233

Given numbers are 500, 756, 480, 908
The greatest common divisor of numbers 500, 756, 480, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 756, 480, 908 is 4.

1. What is the GCD of 500, 756, 480, 908?

GCD of given numbers 500, 756, 480, 908 is 4

2. How to calculate the greatest common divisor of 500, 756, 480, 908?

We can find the highest common divisor of 500, 756, 480, 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 500, 756, 480, 908 i.e 4.

3. How can I use the GCD of 500, 756, 480, 908Calculator?

Out the numbers 500, 756, 480, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.