GCD of 628, 834, 109, 978 Calculator

Given Input numbers are 628, 834, 109, 978

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 109

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

1, 109

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 628, 834, 109, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 834, 109, 978 is 1.

Therefore, GCD of numbers 628, 834, 109, 978 is 1

Given Input Data is 628, 834, 109, 978

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 109 is 109

Prime Factorization of 978 is 2 x 3 x 163

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(628, 834) = 261876

GCD(628, 834) = ( 628 x 834 ) / 261876

GCD(628, 834) = 523752 / 261876

GCD(628, 834) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 628, 834, 109, 978 is 1

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1. What is the GCD of 628, 834, 109, 978?

GCD of 628, 834, 109, 978 is 1

2. Where do I get the detailed procedure to find GCD of 628, 834, 109, 978?

You can find a detailed procedure to find GCD of 628, 834, 109, 978 on our page.

3. How to find GCD of 628, 834, 109, 978 on a calculator?

You can find the GCD of 628, 834, 109, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.