GCD of 618, 109, 120, 997 Calculator

Given Input numbers are 618, 109, 120, 997

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

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 109

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

1, 109

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 618, 109, 120, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 109, 120, 997 is 1.

Therefore, GCD of numbers 618, 109, 120, 997 is 1

Given Input Data is 618, 109, 120, 997

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

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 109 is 109

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 997 is 997

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(618, 109) = 67362

GCD(618, 109) = ( 618 x 109 ) / 67362

GCD(618, 109) = 67362 / 67362

GCD(618, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 618, 109, 120, 997 is 1

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• GCD of 800, 181, 479, 778
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1. What is the GCD of 618, 109, 120, 997?

GCD of 618, 109, 120, 997 is 1

2. Where do I get the detailed procedure to find GCD of 618, 109, 120, 997?

You can find a detailed procedure to find GCD of 618, 109, 120, 997 on our page.

3. How to find GCD of 618, 109, 120, 997 on a calculator?

You can find the GCD of 618, 109, 120, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.