GCD of 119, 404, 59, 672 Calculator

Given Input numbers are 119, 404, 59, 672

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

Divisors of 119

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

1, 7, 17, 119

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 119, 404, 59, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 404, 59, 672 is 1.

Therefore, GCD of numbers 119, 404, 59, 672 is 1

Given Input Data is 119, 404, 59, 672

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 59 is 59

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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(119, 404) = 48076

GCD(119, 404) = ( 119 x 404 ) / 48076

GCD(119, 404) = 48076 / 48076

GCD(119, 404) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 119, 404, 59, 672 is 1

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1. What is the GCD of 119, 404, 59, 672?

GCD of 119, 404, 59, 672 is 1

2. Where do I get the detailed procedure to find GCD of 119, 404, 59, 672?

You can find a detailed procedure to find GCD of 119, 404, 59, 672 on our page.

3. How to find GCD of 119, 404, 59, 672 on a calculator?

You can find the GCD of 119, 404, 59, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.