GCD of 992, 500, 507, 638 Calculator

Given Input numbers are 992, 500, 507, 638

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (992, 500, 507, 638) = 1.

Given numbers are 992, 500, 507, 638

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

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

Prime factors of 507 are 3 x 13 x 13

Prime factors of 638 are 2 x 11 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 992, 500, 507, 638

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

Apply this formula for all numbers.

Step1:

LCM(992, 500) = 124000

GCD(992, 500) = ( 992 x 500 ) / 124000

= 992 / 500

= 992

Step2:

LCM(4, 507) = 2028

GCD(4, 507) = ( 4 x 507 ) / 2028

= 4 / 507

= 4

Step3:

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

= 1 / 638

= 1

So, Greatest Common Divisor of 992, 500, 507, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 797, 908, 509
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• GCD of 195, 686, 817, 732
• GCD of 676, 307, 696, 510
• GCD of 914, 568, 437, 946

Given numbers are 992, 500, 507, 638
The greatest common divisor of numbers 992, 500, 507, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 500, 507, 638 is 1.

1. What is the GCD of 992, 500, 507, 638?

GCD of given numbers 992, 500, 507, 638 is 1

2. How to calculate the greatest common divisor of 992, 500, 507, 638?

We can find the highest common divisor of 992, 500, 507, 638 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 992, 500, 507, 638 i.e 1.

3. How can I use the GCD of 992, 500, 507, 638Calculator?

Out the numbers 992, 500, 507, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.