GCD of 500, 572, 364, 358 Calculator

Given Input numbers are 500, 572, 364, 358

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 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (500, 572, 364, 358) = 2.

Given numbers are 500, 572, 364, 358

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 572 are 2 x 2 x 11 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 500, 572, 364, 358 is 2.

Given numbers are 500, 572, 364, 358

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

Apply this formula for all numbers.

Step1:

LCM(500, 572) = 71500

GCD(500, 572) = ( 500 x 572 ) / 71500

= 500 / 572

= 500

Step2:

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

= 4 / 364

= 4

Step3:

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

= 4 / 358

= 4

So, Greatest Common Divisor of 500, 572, 364, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 648, 110, 483
• GCD of 722, 853, 828, 634
• GCD of 551, 185, 900, 237
• GCD of 735, 519, 601, 337
• GCD of 523, 477, 195, 505

Given numbers are 500, 572, 364, 358
The greatest common divisor of numbers 500, 572, 364, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 572, 364, 358 is 2.

1. What is the GCD of 500, 572, 364, 358?

GCD of given numbers 500, 572, 364, 358 is 2

2. How to calculate the greatest common divisor of 500, 572, 364, 358?

We can find the highest common divisor of 500, 572, 364, 358 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, 572, 364, 358 i.e 2.

3. How can I use the GCD of 500, 572, 364, 358Calculator?

Out the numbers 500, 572, 364, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.