GCD of 200, 724, 294, 564 Calculator

Given Input numbers are 200, 724, 294, 564

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (200, 724, 294, 564) = 2.

Given numbers are 200, 724, 294, 564

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 724 are 2 x 2 x 181

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 200, 724, 294, 564 is 2.

Given numbers are 200, 724, 294, 564

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

Apply this formula for all numbers.

Step1:

LCM(200, 724) = 36200

GCD(200, 724) = ( 200 x 724 ) / 36200

= 200 / 724

= 200

Step2:

LCM(4, 294) = 588

GCD(4, 294) = ( 4 x 294 ) / 588

= 4 / 294

= 4

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 200, 724, 294, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 624, 577, 516
• GCD of 504, 819, 132, 450
• GCD of 827, 682, 167, 992
• GCD of 381, 126, 282, 246
• GCD of 116, 779, 967, 954

Given numbers are 200, 724, 294, 564
The greatest common divisor of numbers 200, 724, 294, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 724, 294, 564 is 2.

1. What is the GCD of 200, 724, 294, 564?

GCD of given numbers 200, 724, 294, 564 is 2

2. How to calculate the greatest common divisor of 200, 724, 294, 564?

We can find the highest common divisor of 200, 724, 294, 564 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, 724, 294, 564 i.e 2.

3. How can I use the GCD of 200, 724, 294, 564Calculator?

Out the numbers 200, 724, 294, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.