GCD of 584, 614, 742, 643 Calculator

Given Input numbers are 584, 614, 742, 643

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

Divisors of 584

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

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 643

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

1, 643

Greatest Common Divisior

We found the divisors of 584, 614, 742, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 614, 742, 643 is 1.

Therefore, GCD of numbers 584, 614, 742, 643 is 1

Given Input Data is 584, 614, 742, 643

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

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 643 is 643

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(584, 614) = 179288

GCD(584, 614) = ( 584 x 614 ) / 179288

GCD(584, 614) = 358576 / 179288

GCD(584, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 643

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

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

GCD(2, 643) = 1286 / 1286

GCD(2, 643) = 1

GCD of 584, 614, 742, 643 is 1

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1. What is the GCD of 584, 614, 742, 643?

GCD of 584, 614, 742, 643 is 1

2. Where do I get the detailed procedure to find GCD of 584, 614, 742, 643?

You can find a detailed procedure to find GCD of 584, 614, 742, 643 on our page.

3. How to find GCD of 584, 614, 742, 643 on a calculator?

You can find the GCD of 584, 614, 742, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.