GCD of 972, 108, 199, 286 Calculator

Given Input numbers are 972, 108, 199, 286

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

GCD of numbers is the greatest common divisor

So, the GCD (972, 108, 199, 286) = 1.

Given numbers are 972, 108, 199, 286

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 199 are 199

Prime factors of 286 are 2 x 11 x 13

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

Given numbers are 972, 108, 199, 286

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

Apply this formula for all numbers.

Step1:

LCM(972, 108) = 972

GCD(972, 108) = ( 972 x 108 ) / 972

= 972 / 108

= 972

Step2:

LCM(108, 199) = 21492

GCD(108, 199) = ( 108 x 199 ) / 21492

= 108 / 199

= 108

Step3:

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

= 1 / 286

= 1

So, Greatest Common Divisor of 972, 108, 199, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 341, 452, 663
• GCD of 638, 774, 112, 944
• GCD of 603, 460, 924, 103
• GCD of 672, 131, 830, 926
• GCD of 318, 431, 412, 971

Given numbers are 972, 108, 199, 286
The greatest common divisor of numbers 972, 108, 199, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 108, 199, 286 is 1.

1. What is the GCD of 972, 108, 199, 286?

GCD of given numbers 972, 108, 199, 286 is 1

2. How to calculate the greatest common divisor of 972, 108, 199, 286?

We can find the highest common divisor of 972, 108, 199, 286 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 972, 108, 199, 286 i.e 1.

3. How can I use the GCD of 972, 108, 199, 286Calculator?

Out the numbers 972, 108, 199, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.