GCD of 322, 472, 274, 120 Calculator

Given Input numbers are 322, 472, 274, 120

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 322, 472, 274, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 472, 274, 120 is 2.

Therefore, GCD of numbers 322, 472, 274, 120 is 2

Given Input Data is 322, 472, 274, 120

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 274 is 2 x 137

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(322, 472) = 75992

GCD(322, 472) = ( 322 x 472 ) / 75992

GCD(322, 472) = 151984 / 75992

GCD(322, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 274

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

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

GCD(2, 274) = 548 / 274

GCD(2, 274) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 2

GCD of 322, 472, 274, 120 is 2

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1. What is the GCD of 322, 472, 274, 120?

GCD of 322, 472, 274, 120 is 2

2. Where do I get the detailed procedure to find GCD of 322, 472, 274, 120?

You can find a detailed procedure to find GCD of 322, 472, 274, 120 on our page.

3. How to find GCD of 322, 472, 274, 120 on a calculator?

You can find the GCD of 322, 472, 274, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.