GCD of 200, 272, 294, 317 Calculator

Given Input numbers are 200, 272, 294, 317

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

GCD of numbers is the greatest common divisor

So, the GCD (200, 272, 294, 317) = 1.

Given numbers are 200, 272, 294, 317

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 272 are 2 x 2 x 2 x 2 x 17

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

Prime factors of 317 are 317

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

Given numbers are 200, 272, 294, 317

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

Apply this formula for all numbers.

Step1:

LCM(200, 272) = 6800

GCD(200, 272) = ( 200 x 272 ) / 6800

= 200 / 272

= 200

Step2:

LCM(8, 294) = 1176

GCD(8, 294) = ( 8 x 294 ) / 1176

= 8 / 294

= 8

Step3:

LCM(2, 317) = 634

GCD(2, 317) = ( 2 x 317 ) / 634

= 2 / 317

= 2

So, Greatest Common Divisor of 200, 272, 294, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 662, 671, 247
• GCD of 978, 601, 710, 107
• GCD of 225, 195, 748, 432
• GCD of 971, 147, 586, 559
• GCD of 528, 658, 974, 215

Given numbers are 200, 272, 294, 317
The greatest common divisor of numbers 200, 272, 294, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 272, 294, 317 is 1.

1. What is the GCD of 200, 272, 294, 317?

GCD of given numbers 200, 272, 294, 317 is 1

2. How to calculate the greatest common divisor of 200, 272, 294, 317?

We can find the highest common divisor of 200, 272, 294, 317 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, 272, 294, 317 i.e 1.

3. How can I use the GCD of 200, 272, 294, 317Calculator?

Out the numbers 200, 272, 294, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.