GCD of 276, 204, 342, 132 Calculator

Given Input numbers are 276, 204, 342, 132

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (276, 204, 342, 132) = 6.

Given numbers are 276, 204, 342, 132

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 276, 204, 342, 132 is 6.

Given numbers are 276, 204, 342, 132

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

Apply this formula for all numbers.

Step1:

LCM(276, 204) = 4692

GCD(276, 204) = ( 276 x 204 ) / 4692

= 276 / 204

= 276

Step2:

LCM(12, 342) = 684

GCD(12, 342) = ( 12 x 342 ) / 684

= 12 / 342

= 12

Step3:

LCM(6, 132) = 132

GCD(6, 132) = ( 6 x 132 ) / 132

= 6 / 132

= 6

So, Greatest Common Divisor of 276, 204, 342, 132 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 537, 302, 701
• GCD of 870, 167, 113, 219
• GCD of 424, 514, 739, 506
• GCD of 745, 395, 910, 692
• GCD of 484, 331, 324, 283

Given numbers are 276, 204, 342, 132
The greatest common divisor of numbers 276, 204, 342, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 204, 342, 132 is 6.

1. What is the GCD of 276, 204, 342, 132?

GCD of given numbers 276, 204, 342, 132 is 6

2. How to calculate the greatest common divisor of 276, 204, 342, 132?

We can find the highest common divisor of 276, 204, 342, 132 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 276, 204, 342, 132 i.e 6.

3. How can I use the GCD of 276, 204, 342, 132Calculator?

Out the numbers 276, 204, 342, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.