GCD of 132, 642, 326, 706 Calculator

Given Input numbers are 132, 642, 326, 706

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (132, 642, 326, 706) = 2.

Given numbers are 132, 642, 326, 706

The list of prime factors of all numbers are

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

Prime factors of 642 are 2 x 3 x 107

Prime factors of 326 are 2 x 163

Prime factors of 706 are 2 x 353

The highest common occurrence is 2¹

Therefore, GCD of 132, 642, 326, 706 is 2.

Given numbers are 132, 642, 326, 706

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

Apply this formula for all numbers.

Step1:

LCM(132, 642) = 14124

GCD(132, 642) = ( 132 x 642 ) / 14124

= 132 / 642

= 132

Step2:

LCM(6, 326) = 978

GCD(6, 326) = ( 6 x 326 ) / 978

= 6 / 326

= 6

Step3:

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

= 2 / 706

= 2

So, Greatest Common Divisor of 132, 642, 326, 706 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 429, 865, 601
• GCD of 509, 419, 243, 533
• GCD of 127, 121, 973, 202
• GCD of 359, 723, 760, 222
• GCD of 595, 134, 216, 267

Given numbers are 132, 642, 326, 706
The greatest common divisor of numbers 132, 642, 326, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 642, 326, 706 is 2.

1. What is the GCD of 132, 642, 326, 706?

GCD of given numbers 132, 642, 326, 706 is 2

2. How to calculate the greatest common divisor of 132, 642, 326, 706?

We can find the highest common divisor of 132, 642, 326, 706 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, 642, 326, 706 i.e 2.

3. How can I use the GCD of 132, 642, 326, 706Calculator?

Out the numbers 132, 642, 326, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.