GCD of 420, 598, 119 Calculator

Given Input numbers are 420, 598, 119

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 119

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

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 420, 598, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 598, 119 is 1.

Therefore, GCD of numbers 420, 598, 119 is 1

Given Input Data is 420, 598, 119

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 119 is 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(420, 598) = 125580

GCD(420, 598) = ( 420 x 598 ) / 125580

GCD(420, 598) = 251160 / 125580

GCD(420, 598) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

GCD of 420, 598, 119 is 1

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1. What is the GCD of 420, 598, 119?

GCD of 420, 598, 119 is 1

2. Where do I get the detailed procedure to find GCD of 420, 598, 119?

You can find a detailed procedure to find GCD of 420, 598, 119 on our page.

3. How to find GCD of 420, 598, 119 on a calculator?

You can find the GCD of 420, 598, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.