GCD of 972, 214, 200, 261 Calculator

Given Input numbers are 972, 214, 200, 261

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (972, 214, 200, 261) = 1.

Given numbers are 972, 214, 200, 261

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 214 are 2 x 107

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

Prime factors of 261 are 3 x 3 x 29

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

Given numbers are 972, 214, 200, 261

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

Apply this formula for all numbers.

Step1:

LCM(972, 214) = 104004

GCD(972, 214) = ( 972 x 214 ) / 104004

= 972 / 214

= 972

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 261) = 522

GCD(2, 261) = ( 2 x 261 ) / 522

= 2 / 261

= 2

So, Greatest Common Divisor of 972, 214, 200, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 422, 236, 533
• GCD of 928, 416, 606, 748
• GCD of 590, 917, 272, 535
• GCD of 124, 744, 866, 658
• GCD of 860, 894, 281, 759

Given numbers are 972, 214, 200, 261
The greatest common divisor of numbers 972, 214, 200, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 214, 200, 261 is 1.

1. What is the GCD of 972, 214, 200, 261?

GCD of given numbers 972, 214, 200, 261 is 1

2. How to calculate the greatest common divisor of 972, 214, 200, 261?

We can find the highest common divisor of 972, 214, 200, 261 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, 214, 200, 261 i.e 1.

3. How can I use the GCD of 972, 214, 200, 261Calculator?

Out the numbers 972, 214, 200, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.