GCD of 283, 924, 725, 991 Calculator

Given Input numbers are 283, 924, 725, 991

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 283, 924, 725, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 924, 725, 991 is 1.

Therefore, GCD of numbers 283, 924, 725, 991 is 1

Given Input Data is 283, 924, 725, 991

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

Prime Factorization of 283 is 283

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 991 is 991

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, 924) = 261492

GCD(283, 924) = ( 283 x 924 ) / 261492

GCD(283, 924) = 261492 / 261492

GCD(283, 924) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 283, 924, 725, 991 is 1

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1. What is the GCD of 283, 924, 725, 991?

GCD of 283, 924, 725, 991 is 1

2. Where do I get the detailed procedure to find GCD of 283, 924, 725, 991?

You can find a detailed procedure to find GCD of 283, 924, 725, 991 on our page.

3. How to find GCD of 283, 924, 725, 991 on a calculator?

You can find the GCD of 283, 924, 725, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.