GCD of 759, 614, 618, 889 Calculator

Given Input numbers are 759, 614, 618, 889

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 614

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

1, 2, 307, 614

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 759, 614, 618, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 614, 618, 889 is 1.

Therefore, GCD of numbers 759, 614, 618, 889 is 1

Given Input Data is 759, 614, 618, 889

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 614 is 2 x 307

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 889 is 7 x 127

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, 614) = 466026

GCD(759, 614) = ( 759 x 614 ) / 466026

GCD(759, 614) = 466026 / 466026

GCD(759, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 759, 614, 618, 889 is 1

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1. What is the GCD of 759, 614, 618, 889?

GCD of 759, 614, 618, 889 is 1

2. Where do I get the detailed procedure to find GCD of 759, 614, 618, 889?

You can find a detailed procedure to find GCD of 759, 614, 618, 889 on our page.

3. How to find GCD of 759, 614, 618, 889 on a calculator?

You can find the GCD of 759, 614, 618, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.