GCD of 759, 668, 28, 749 Calculator

Given Input numbers are 759, 668, 28, 749

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 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 759, 668, 28, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 668, 28, 749 is 1.

Therefore, GCD of numbers 759, 668, 28, 749 is 1

Given Input Data is 759, 668, 28, 749

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 668 is 2 x 2 x 167

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 749 is 7 x 107

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, 668) = 507012

GCD(759, 668) = ( 759 x 668 ) / 507012

GCD(759, 668) = 507012 / 507012

GCD(759, 668) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 759, 668, 28, 749 is 1

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1. What is the GCD of 759, 668, 28, 749?

GCD of 759, 668, 28, 749 is 1

2. Where do I get the detailed procedure to find GCD of 759, 668, 28, 749?

You can find a detailed procedure to find GCD of 759, 668, 28, 749 on our page.

3. How to find GCD of 759, 668, 28, 749 on a calculator?

You can find the GCD of 759, 668, 28, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.