GCD of 302, 446, 132, 357 Calculator

Given Input numbers are 302, 446, 132, 357

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 302, 446, 132, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 446, 132, 357 is 1.

Therefore, GCD of numbers 302, 446, 132, 357 is 1

Given Input Data is 302, 446, 132, 357

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 446 is 2 x 223

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

Prime Factorization of 357 is 3 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

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(302, 446) = 67346

GCD(302, 446) = ( 302 x 446 ) / 67346

GCD(302, 446) = 134692 / 67346

GCD(302, 446) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 357

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

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

GCD(2, 357) = 714 / 714

GCD(2, 357) = 1

GCD of 302, 446, 132, 357 is 1

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1. What is the GCD of 302, 446, 132, 357?

GCD of 302, 446, 132, 357 is 1

2. Where do I get the detailed procedure to find GCD of 302, 446, 132, 357?

You can find a detailed procedure to find GCD of 302, 446, 132, 357 on our page.

3. How to find GCD of 302, 446, 132, 357 on a calculator?

You can find the GCD of 302, 446, 132, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.