GCD of 109, 150, 618, 294 Calculator

Given Input numbers are 109, 150, 618, 294

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 109, 150, 618, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 150, 618, 294 is 1.

Therefore, GCD of numbers 109, 150, 618, 294 is 1

Given Input Data is 109, 150, 618, 294

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

Prime Factorization of 109 is 109

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 294 is 2 x 3 x 7 x 7

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, 150) = 16350

GCD(109, 150) = ( 109 x 150 ) / 16350

GCD(109, 150) = 16350 / 16350

GCD(109, 150) = 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 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 109, 150, 618, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 254, 495, 567
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• GCD of 614, 367, 888, 862

1. What is the GCD of 109, 150, 618, 294?

GCD of 109, 150, 618, 294 is 1

2. Where do I get the detailed procedure to find GCD of 109, 150, 618, 294?

You can find a detailed procedure to find GCD of 109, 150, 618, 294 on our page.

3. How to find GCD of 109, 150, 618, 294 on a calculator?

You can find the GCD of 109, 150, 618, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.