GCD of 916, 204, 231, 961 Calculator

Given Input numbers are 916, 204, 231, 961

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (916, 204, 231, 961) = 1.

Given numbers are 916, 204, 231, 961

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 231 are 3 x 7 x 11

Prime factors of 961 are 31 x 31

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

Given numbers are 916, 204, 231, 961

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

Apply this formula for all numbers.

Step1:

LCM(916, 204) = 46716

GCD(916, 204) = ( 916 x 204 ) / 46716

= 916 / 204

= 916

Step2:

LCM(4, 231) = 924

GCD(4, 231) = ( 4 x 231 ) / 924

= 4 / 231

= 4

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 916, 204, 231, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 326, 157, 895
• GCD of 622, 572, 351, 342
• GCD of 399, 144, 227, 304
• GCD of 685, 213, 884, 324
• GCD of 991, 554, 260, 662

Given numbers are 916, 204, 231, 961
The greatest common divisor of numbers 916, 204, 231, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 204, 231, 961 is 1.

1. What is the GCD of 916, 204, 231, 961?

GCD of given numbers 916, 204, 231, 961 is 1

2. How to calculate the greatest common divisor of 916, 204, 231, 961?

We can find the highest common divisor of 916, 204, 231, 961 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 916, 204, 231, 961 i.e 1.

3. How can I use the GCD of 916, 204, 231, 961Calculator?

Out the numbers 916, 204, 231, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.