GCD of 368, 940, 724, 200 Calculator

Given Input numbers are 368, 940, 724, 200

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

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

GCD of numbers is the greatest common divisor

So, the GCD (368, 940, 724, 200) = 4.

Given numbers are 368, 940, 724, 200

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 724 are 2 x 2 x 181

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

The highest common occurrence is 2²

Therefore, GCD of 368, 940, 724, 200 is 4.

Given numbers are 368, 940, 724, 200

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

Apply this formula for all numbers.

Step1:

LCM(368, 940) = 86480

GCD(368, 940) = ( 368 x 940 ) / 86480

= 368 / 940

= 368

Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

Step3:

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

= 4 / 200

= 4

So, Greatest Common Divisor of 368, 940, 724, 200 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 765, 766, 606
• GCD of 938, 803, 643, 290
• GCD of 868, 576, 221, 682
• GCD of 351, 493, 412, 308
• GCD of 133, 228, 186, 529

Given numbers are 368, 940, 724, 200
The greatest common divisor of numbers 368, 940, 724, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 940, 724, 200 is 4.

1. What is the GCD of 368, 940, 724, 200?

GCD of given numbers 368, 940, 724, 200 is 4

2. How to calculate the greatest common divisor of 368, 940, 724, 200?

We can find the highest common divisor of 368, 940, 724, 200 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 368, 940, 724, 200 i.e 4.

3. How can I use the GCD of 368, 940, 724, 200Calculator?

Out the numbers 368, 940, 724, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.