GCD of 954, 626, 78, 109 Calculator

Given Input numbers are 954, 626, 78, 109

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 109

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

1, 109

Greatest Common Divisior

We found the divisors of 954, 626, 78, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 626, 78, 109 is 1.

Therefore, GCD of numbers 954, 626, 78, 109 is 1

Given Input Data is 954, 626, 78, 109

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 626 is 2 x 313

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 109 is 109

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(954, 626) = 298602

GCD(954, 626) = ( 954 x 626 ) / 298602

GCD(954, 626) = 597204 / 298602

GCD(954, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

GCD of 954, 626, 78, 109 is 1

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1. What is the GCD of 954, 626, 78, 109?

GCD of 954, 626, 78, 109 is 1

2. Where do I get the detailed procedure to find GCD of 954, 626, 78, 109?

You can find a detailed procedure to find GCD of 954, 626, 78, 109 on our page.

3. How to find GCD of 954, 626, 78, 109 on a calculator?

You can find the GCD of 954, 626, 78, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.