GCD of 957, 561, 198, 216 Calculator

Given Input numbers are 957, 561, 198, 216

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

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (957, 561, 198, 216) = 3.

Given numbers are 957, 561, 198, 216

The list of prime factors of all numbers are

Prime factors of 957 are 3 x 11 x 29

Prime factors of 561 are 3 x 11 x 17

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 957, 561, 198, 216 is 3.

Given numbers are 957, 561, 198, 216

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

Apply this formula for all numbers.

Step1:

LCM(957, 561) = 16269

GCD(957, 561) = ( 957 x 561 ) / 16269

= 957 / 561

= 957

Step2:

LCM(33, 198) = 198

GCD(33, 198) = ( 33 x 198 ) / 198

= 33 / 198

= 33

Step3:

LCM(33, 216) = 2376

GCD(33, 216) = ( 33 x 216 ) / 2376

= 33 / 216

= 33

So, Greatest Common Divisor of 957, 561, 198, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 290, 177, 596
• GCD of 103, 610, 137, 344
• GCD of 734, 140, 592, 340
• GCD of 205, 598, 211, 262
• GCD of 109, 537, 448, 566

Given numbers are 957, 561, 198, 216
The greatest common divisor of numbers 957, 561, 198, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 561, 198, 216 is 3.

1. What is the GCD of 957, 561, 198, 216?

GCD of given numbers 957, 561, 198, 216 is 3

2. How to calculate the greatest common divisor of 957, 561, 198, 216?

We can find the highest common divisor of 957, 561, 198, 216 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 957, 561, 198, 216 i.e 3.

3. How can I use the GCD of 957, 561, 198, 216Calculator?

Out the numbers 957, 561, 198, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.