GCD of 500, 656, 574, 493 Calculator

Given Input numbers are 500, 656, 574, 493

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

GCD of numbers is the greatest common divisor

So, the GCD (500, 656, 574, 493) = 1.

Given numbers are 500, 656, 574, 493

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 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 574 are 2 x 7 x 41

Prime factors of 493 are 17 x 29

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

Given numbers are 500, 656, 574, 493

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

Apply this formula for all numbers.

Step1:

LCM(500, 656) = 82000

GCD(500, 656) = ( 500 x 656 ) / 82000

= 500 / 656

= 500

Step2:

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

= 4 / 574

= 4

Step3:

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

= 2 / 493

= 2

So, Greatest Common Divisor of 500, 656, 574, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 897, 434, 698
• GCD of 309, 252, 992, 624
• GCD of 631, 128, 971, 682
• GCD of 304, 292, 982, 368
• GCD of 300, 104, 970, 635

Given numbers are 500, 656, 574, 493
The greatest common divisor of numbers 500, 656, 574, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 656, 574, 493 is 1.

1. What is the GCD of 500, 656, 574, 493?

GCD of given numbers 500, 656, 574, 493 is 1

2. How to calculate the greatest common divisor of 500, 656, 574, 493?

We can find the highest common divisor of 500, 656, 574, 493 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, 656, 574, 493 i.e 1.

3. How can I use the GCD of 500, 656, 574, 493Calculator?

Out the numbers 500, 656, 574, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.