GCD of 763, 294, 58, 872 Calculator

Given Input numbers are 763, 294, 58, 872

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 763, 294, 58, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 294, 58, 872 is 1.

Therefore, GCD of numbers 763, 294, 58, 872 is 1

Given Input Data is 763, 294, 58, 872

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(763, 294) = 32046

GCD(763, 294) = ( 763 x 294 ) / 32046

GCD(763, 294) = 224322 / 32046

GCD(763, 294) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 58

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

LCM(7, 58) = 406

GCD(7, 58) = ( 7 x 58 ) / 406

GCD(7, 58) = 406 / 406

GCD(7, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 763, 294, 58, 872 is 1

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1. What is the GCD of 763, 294, 58, 872?

GCD of 763, 294, 58, 872 is 1

2. Where do I get the detailed procedure to find GCD of 763, 294, 58, 872?

You can find a detailed procedure to find GCD of 763, 294, 58, 872 on our page.

3. How to find GCD of 763, 294, 58, 872 on a calculator?

You can find the GCD of 763, 294, 58, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.