GCD of 638, 159, 714, 759 Calculator

Given Input numbers are 638, 159, 714, 759

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 638, 159, 714, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 159, 714, 759 is 1.

Therefore, GCD of numbers 638, 159, 714, 759 is 1

Given Input Data is 638, 159, 714, 759

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 159 is 3 x 53

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(638, 159) = 101442

GCD(638, 159) = ( 638 x 159 ) / 101442

GCD(638, 159) = 101442 / 101442

GCD(638, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 638, 159, 714, 759 is 1

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1. What is the GCD of 638, 159, 714, 759?

GCD of 638, 159, 714, 759 is 1

2. Where do I get the detailed procedure to find GCD of 638, 159, 714, 759?

You can find a detailed procedure to find GCD of 638, 159, 714, 759 on our page.

3. How to find GCD of 638, 159, 714, 759 on a calculator?

You can find the GCD of 638, 159, 714, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.