GCD of 455, 285, 724, 119 Calculator

Given Input numbers are 455, 285, 724, 119

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

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

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 455, 285, 724, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 285, 724, 119 is 1.

Therefore, GCD of numbers 455, 285, 724, 119 is 1

Given Input Data is 455, 285, 724, 119

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

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 724 is 2 x 2 x 181

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(455, 285) = 25935

GCD(455, 285) = ( 455 x 285 ) / 25935

GCD(455, 285) = 129675 / 25935

GCD(455, 285) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 724

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

LCM(5, 724) = 3620

GCD(5, 724) = ( 5 x 724 ) / 3620

GCD(5, 724) = 3620 / 3620

GCD(5, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 455, 285, 724, 119 is 1

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1. What is the GCD of 455, 285, 724, 119?

GCD of 455, 285, 724, 119 is 1

2. Where do I get the detailed procedure to find GCD of 455, 285, 724, 119?

You can find a detailed procedure to find GCD of 455, 285, 724, 119 on our page.

3. How to find GCD of 455, 285, 724, 119 on a calculator?

You can find the GCD of 455, 285, 724, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.