GCD of 500, 137, 517, 688 Calculator

Given Input numbers are 500, 137, 517, 688

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 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (500, 137, 517, 688) = 1.

Given numbers are 500, 137, 517, 688

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 137 are 137

Prime factors of 517 are 11 x 47

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 500, 137, 517, 688

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

Apply this formula for all numbers.

Step1:

LCM(500, 137) = 68500

GCD(500, 137) = ( 500 x 137 ) / 68500

= 500 / 137

= 500

Step2:

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

= 1 / 517

= 1

Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

So, Greatest Common Divisor of 500, 137, 517, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 190, 668, 989
• GCD of 381, 503, 778, 605
• GCD of 861, 345, 400, 502
• GCD of 427, 686, 712, 329
• GCD of 338, 730, 987, 508

Given numbers are 500, 137, 517, 688
The greatest common divisor of numbers 500, 137, 517, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 137, 517, 688 is 1.

1. What is the GCD of 500, 137, 517, 688?

GCD of given numbers 500, 137, 517, 688 is 1

2. How to calculate the greatest common divisor of 500, 137, 517, 688?

We can find the highest common divisor of 500, 137, 517, 688 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, 137, 517, 688 i.e 1.

3. How can I use the GCD of 500, 137, 517, 688Calculator?

Out the numbers 500, 137, 517, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.