GCD of 500, 908, 994, 750 Calculator

Given Input numbers are 500, 908, 994, 750

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 908 :

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

1, 2, 4, 227, 454, 908

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

GCD of numbers is the greatest common divisor

So, the GCD (500, 908, 994, 750) = 2.

Given numbers are 500, 908, 994, 750

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 908 are 2 x 2 x 227

Prime factors of 994 are 2 x 7 x 71

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 500, 908, 994, 750 is 2.

Given numbers are 500, 908, 994, 750

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

Apply this formula for all numbers.

Step1:

LCM(500, 908) = 113500

GCD(500, 908) = ( 500 x 908 ) / 113500

= 500 / 908

= 500

Step2:

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

= 4 / 994

= 4

Step3:

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

= 2 / 750

= 2

So, Greatest Common Divisor of 500, 908, 994, 750 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 810, 676, 664
• GCD of 363, 782, 153, 356
• GCD of 161, 494, 982, 865
• GCD of 877, 956, 207, 670
• GCD of 330, 409, 832, 143

Given numbers are 500, 908, 994, 750
The greatest common divisor of numbers 500, 908, 994, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 908, 994, 750 is 2.

1. What is the GCD of 500, 908, 994, 750?

GCD of given numbers 500, 908, 994, 750 is 2

2. How to calculate the greatest common divisor of 500, 908, 994, 750?

We can find the highest common divisor of 500, 908, 994, 750 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, 908, 994, 750 i.e 2.

3. How can I use the GCD of 500, 908, 994, 750Calculator?

Out the numbers 500, 908, 994, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.