GCD of 456, 119, 370 Calculator

Given Input numbers are 456, 119, 370

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

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 456, 119, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 119, 370 is 1.

Therefore, GCD of numbers 456, 119, 370 is 1

Given Input Data is 456, 119, 370

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

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 370 is 2 x 5 x 37

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(456, 119) = 54264

GCD(456, 119) = ( 456 x 119 ) / 54264

GCD(456, 119) = 54264 / 54264

GCD(456, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 456, 119, 370 is 1

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1. What is the GCD of 456, 119, 370?

GCD of 456, 119, 370 is 1

2. Where do I get the detailed procedure to find GCD of 456, 119, 370?

You can find a detailed procedure to find GCD of 456, 119, 370 on our page.

3. How to find GCD of 456, 119, 370 on a calculator?

You can find the GCD of 456, 119, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.