GCD of 283, 371, 357, 724 Calculator

Given Input numbers are 283, 371, 357, 724

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 724

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

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 283, 371, 357, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 371, 357, 724 is 1.

Therefore, GCD of numbers 283, 371, 357, 724 is 1

Given Input Data is 283, 371, 357, 724

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

Prime Factorization of 283 is 283

Prime Factorization of 371 is 7 x 53

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 724 is 2 x 2 x 181

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(283, 371) = 104993

GCD(283, 371) = ( 283 x 371 ) / 104993

GCD(283, 371) = 104993 / 104993

GCD(283, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 283, 371, 357, 724 is 1

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1. What is the GCD of 283, 371, 357, 724?

GCD of 283, 371, 357, 724 is 1

2. Where do I get the detailed procedure to find GCD of 283, 371, 357, 724?

You can find a detailed procedure to find GCD of 283, 371, 357, 724 on our page.

3. How to find GCD of 283, 371, 357, 724 on a calculator?

You can find the GCD of 283, 371, 357, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.