GCD of 200, 508, 718, 584 Calculator

Given Input numbers are 200, 508, 718, 584

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (200, 508, 718, 584) = 2.

Given numbers are 200, 508, 718, 584

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 508 are 2 x 2 x 127

Prime factors of 718 are 2 x 359

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 200, 508, 718, 584 is 2.

Given numbers are 200, 508, 718, 584

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

Apply this formula for all numbers.

Step1:

LCM(200, 508) = 25400

GCD(200, 508) = ( 200 x 508 ) / 25400

= 200 / 508

= 200

Step2:

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

= 4 / 718

= 4

Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 200, 508, 718, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 292, 675, 601, 867
• GCD of 427, 117, 585, 575
• GCD of 238, 723, 968, 995
• GCD of 313, 346, 207, 294
• GCD of 707, 130, 743, 938

Given numbers are 200, 508, 718, 584
The greatest common divisor of numbers 200, 508, 718, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 508, 718, 584 is 2.

1. What is the GCD of 200, 508, 718, 584?

GCD of given numbers 200, 508, 718, 584 is 2

2. How to calculate the greatest common divisor of 200, 508, 718, 584?

We can find the highest common divisor of 200, 508, 718, 584 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 200, 508, 718, 584 i.e 2.

3. How can I use the GCD of 200, 508, 718, 584Calculator?

Out the numbers 200, 508, 718, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.