GCD of 500, 989, 716, 504 Calculator

Given Input numbers are 500, 989, 716, 504

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 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (500, 989, 716, 504) = 1.

Given numbers are 500, 989, 716, 504

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 989 are 23 x 43

Prime factors of 716 are 2 x 2 x 179

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Given numbers are 500, 989, 716, 504

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

Apply this formula for all numbers.

Step1:

LCM(500, 989) = 494500

GCD(500, 989) = ( 500 x 989 ) / 494500

= 500 / 989

= 500

Step2:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1

Step3:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1

So, Greatest Common Divisor of 500, 989, 716, 504 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 983, 222, 149
• GCD of 783, 689, 519, 273
• GCD of 918, 593, 913, 470
• GCD of 364, 316, 253, 491
• GCD of 198, 395, 217, 141

Given numbers are 500, 989, 716, 504
The greatest common divisor of numbers 500, 989, 716, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 989, 716, 504 is 1.

1. What is the GCD of 500, 989, 716, 504?

GCD of given numbers 500, 989, 716, 504 is 1

2. How to calculate the greatest common divisor of 500, 989, 716, 504?

We can find the highest common divisor of 500, 989, 716, 504 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, 989, 716, 504 i.e 1.

3. How can I use the GCD of 500, 989, 716, 504Calculator?

Out the numbers 500, 989, 716, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.