GCD of 706, 468, 416, 132 Calculator

Given Input numbers are 706, 468, 416, 132

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

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

Greatest Common Divisior

We found the divisors of 706, 468, 416, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 468, 416, 132 is 2.

Therefore, GCD of numbers 706, 468, 416, 132 is 2

Given Input Data is 706, 468, 416, 132

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 706 is 2 x 353

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 132 is 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(706, 468) = 165204

GCD(706, 468) = ( 706 x 468 ) / 165204

GCD(706, 468) = 330408 / 165204

GCD(706, 468) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 416

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

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

GCD(2, 416) = 832 / 416

GCD(2, 416) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 706, 468, 416, 132 is 2

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1. What is the GCD of 706, 468, 416, 132?

GCD of 706, 468, 416, 132 is 2

2. Where do I get the detailed procedure to find GCD of 706, 468, 416, 132?

You can find a detailed procedure to find GCD of 706, 468, 416, 132 on our page.

3. How to find GCD of 706, 468, 416, 132 on a calculator?

You can find the GCD of 706, 468, 416, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.