GCD of 759, 426, 643, 584 Calculator

Given Input numbers are 759, 426, 643, 584

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 759, 426, 643, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 426, 643, 584 is 1.

Therefore, GCD of numbers 759, 426, 643, 584 is 1

Given Input Data is 759, 426, 643, 584

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 643 is 643

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(759, 426) = 107778

GCD(759, 426) = ( 759 x 426 ) / 107778

GCD(759, 426) = 323334 / 107778

GCD(759, 426) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 643

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

LCM(3, 643) = 1929

GCD(3, 643) = ( 3 x 643 ) / 1929

GCD(3, 643) = 1929 / 1929

GCD(3, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 759, 426, 643, 584 is 1

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1. What is the GCD of 759, 426, 643, 584?

GCD of 759, 426, 643, 584 is 1

2. Where do I get the detailed procedure to find GCD of 759, 426, 643, 584?

You can find a detailed procedure to find GCD of 759, 426, 643, 584 on our page.

3. How to find GCD of 759, 426, 643, 584 on a calculator?

You can find the GCD of 759, 426, 643, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.