GCD of 132, 722, 296, 334 Calculator

Given Input numbers are 132, 722, 296, 334

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (132, 722, 296, 334) = 2.

Given numbers are 132, 722, 296, 334

The list of prime factors of all numbers are

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

Prime factors of 722 are 2 x 19 x 19

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 334 are 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 132, 722, 296, 334 is 2.

Given numbers are 132, 722, 296, 334

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

Apply this formula for all numbers.

Step1:

LCM(132, 722) = 47652

GCD(132, 722) = ( 132 x 722 ) / 47652

= 132 / 722

= 132

Step2:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

Step3:

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

= 2 / 334

= 2

So, Greatest Common Divisor of 132, 722, 296, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 369, 821, 122, 746
• GCD of 185, 271, 320, 209
• GCD of 812, 305, 387, 338
• GCD of 353, 514, 628, 168
• GCD of 967, 687, 315, 834

Given numbers are 132, 722, 296, 334
The greatest common divisor of numbers 132, 722, 296, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 722, 296, 334 is 2.

1. What is the GCD of 132, 722, 296, 334?

GCD of given numbers 132, 722, 296, 334 is 2

2. How to calculate the greatest common divisor of 132, 722, 296, 334?

We can find the highest common divisor of 132, 722, 296, 334 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, 722, 296, 334 i.e 2.

3. How can I use the GCD of 132, 722, 296, 334Calculator?

Out the numbers 132, 722, 296, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.