GCD of 374, 332, 498, 456 Calculator

Given Input numbers are 374, 332, 498, 456

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 374, 332, 498, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 332, 498, 456 is 2.

Therefore, GCD of numbers 374, 332, 498, 456 is 2

Given Input Data is 374, 332, 498, 456

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(374, 332) = 62084

GCD(374, 332) = ( 374 x 332 ) / 62084

GCD(374, 332) = 124168 / 62084

GCD(374, 332) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 456

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

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

GCD(2, 456) = 912 / 456

GCD(2, 456) = 2

GCD of 374, 332, 498, 456 is 2

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1. What is the GCD of 374, 332, 498, 456?

GCD of 374, 332, 498, 456 is 2

2. Where do I get the detailed procedure to find GCD of 374, 332, 498, 456?

You can find a detailed procedure to find GCD of 374, 332, 498, 456 on our page.

3. How to find GCD of 374, 332, 498, 456 on a calculator?

You can find the GCD of 374, 332, 498, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.