GCD of 629, 779, 278, 874 Calculator

Given Input numbers are 629, 779, 278, 874

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

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 629, 779, 278, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 779, 278, 874 is 1.

Therefore, GCD of numbers 629, 779, 278, 874 is 1

Given Input Data is 629, 779, 278, 874

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 779 is 19 x 41

Prime Factorization of 278 is 2 x 139

Prime Factorization of 874 is 2 x 19 x 23

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(629, 779) = 489991

GCD(629, 779) = ( 629 x 779 ) / 489991

GCD(629, 779) = 489991 / 489991

GCD(629, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 629, 779, 278, 874 is 1

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1. What is the GCD of 629, 779, 278, 874?

GCD of 629, 779, 278, 874 is 1

2. Where do I get the detailed procedure to find GCD of 629, 779, 278, 874?

You can find a detailed procedure to find GCD of 629, 779, 278, 874 on our page.

3. How to find GCD of 629, 779, 278, 874 on a calculator?

You can find the GCD of 629, 779, 278, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.