GCD of 132, 488, 342, 676 Calculator

Given Input numbers are 132, 488, 342, 676

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

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (132, 488, 342, 676) = 2.

Given numbers are 132, 488, 342, 676

The list of prime factors of all numbers are

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

Prime factors of 488 are 2 x 2 x 2 x 61

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

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 132, 488, 342, 676 is 2.

Given numbers are 132, 488, 342, 676

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

Apply this formula for all numbers.

Step1:

LCM(132, 488) = 16104

GCD(132, 488) = ( 132 x 488 ) / 16104

= 132 / 488

= 132

Step2:

LCM(4, 342) = 684

GCD(4, 342) = ( 4 x 342 ) / 684

= 4 / 342

= 4

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 132, 488, 342, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 721, 830, 988
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Given numbers are 132, 488, 342, 676
The greatest common divisor of numbers 132, 488, 342, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 488, 342, 676 is 2.

1. What is the GCD of 132, 488, 342, 676?

GCD of given numbers 132, 488, 342, 676 is 2

2. How to calculate the greatest common divisor of 132, 488, 342, 676?

We can find the highest common divisor of 132, 488, 342, 676 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 132, 488, 342, 676 i.e 2.

3. How can I use the GCD of 132, 488, 342, 676Calculator?

Out the numbers 132, 488, 342, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.