GCD of 109, 759, 146, 618 Calculator

Given Input numbers are 109, 759, 146, 618

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 618

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

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

Greatest Common Divisior

We found the divisors of 109, 759, 146, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 759, 146, 618 is 1.

Therefore, GCD of numbers 109, 759, 146, 618 is 1

Given Input Data is 109, 759, 146, 618

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

Prime Factorization of 109 is 109

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 146 is 2 x 73

Prime Factorization of 618 is 2 x 3 x 103

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(109, 759) = 82731

GCD(109, 759) = ( 109 x 759 ) / 82731

GCD(109, 759) = 82731 / 82731

GCD(109, 759) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

Step3:

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

GCD of 109, 759, 146, 618 is 1

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1. What is the GCD of 109, 759, 146, 618?

GCD of 109, 759, 146, 618 is 1

2. Where do I get the detailed procedure to find GCD of 109, 759, 146, 618?

You can find a detailed procedure to find GCD of 109, 759, 146, 618 on our page.

3. How to find GCD of 109, 759, 146, 618 on a calculator?

You can find the GCD of 109, 759, 146, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.