GCD of 944, 642, 682, 759 Calculator

Given Input numbers are 944, 642, 682, 759

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

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 759

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

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

Greatest Common Divisior

We found the divisors of 944, 642, 682, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 642, 682, 759 is 1.

Therefore, GCD of numbers 944, 642, 682, 759 is 1

Given Input Data is 944, 642, 682, 759

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

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 759 is 3 x 11 x 23

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(944, 642) = 303024

GCD(944, 642) = ( 944 x 642 ) / 303024

GCD(944, 642) = 606048 / 303024

GCD(944, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

GCD of 944, 642, 682, 759 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 944, 642, 682, 759?

GCD of 944, 642, 682, 759 is 1

2. Where do I get the detailed procedure to find GCD of 944, 642, 682, 759?

You can find a detailed procedure to find GCD of 944, 642, 682, 759 on our page.

3. How to find GCD of 944, 642, 682, 759 on a calculator?

You can find the GCD of 944, 642, 682, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.