GCD of 261, 363, 12, 117 Calculator

Given Input numbers are 261, 363, 12, 117

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

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (261, 363, 12, 117) = 3.

Given numbers are 261, 363, 12, 117

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 363 are 3 x 11 x 11

Prime factors of 12 are 2 x 2 x 3

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 261, 363, 12, 117 is 3.

Given numbers are 261, 363, 12, 117

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

Apply this formula for all numbers.

Step1:

LCM(261, 363) = 31581

GCD(261, 363) = ( 261 x 363 ) / 31581

= 261 / 363

= 261

Step2:

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

= 3 / 12

= 3

Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3

So, Greatest Common Divisor of 261, 363, 12, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 246, 34, 670
• GCD of 571, 218, 22, 871
• GCD of 426, 168, 45, 908
• GCD of 917, 665, 16, 994
• GCD of 547, 282, 16, 531

Given numbers are 261, 363, 12, 117
The greatest common divisor of numbers 261, 363, 12, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 363, 12, 117 is 3.

1. What is the GCD of 261, 363, 12, 117?

GCD of given numbers 261, 363, 12, 117 is 3

2. How to calculate the greatest common divisor of 261, 363, 12, 117?

We can find the highest common divisor of 261, 363, 12, 117 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 261, 363, 12, 117 i.e 3.

3. How can I use the GCD of 261, 363, 12, 117Calculator?

Out the numbers 261, 363, 12, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.