GCD of 314, 942, 629 Calculator

Given Input numbers are 314, 942, 629

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 629

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

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 314, 942, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 942, 629 is 1.

Therefore, GCD of numbers 314, 942, 629 is 1

Given Input Data is 314, 942, 629

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 629 is 17 x 37

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(314, 942) = 942

GCD(314, 942) = ( 314 x 942 ) / 942

GCD(314, 942) = 295788 / 942

GCD(314, 942) = 314

Step2:

Here we consider the GCD from the above i.e. 314 as first number and the next as 629

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

LCM(314, 629) = 197506

GCD(314, 629) = ( 314 x 629 ) / 197506

GCD(314, 629) = 197506 / 197506

GCD(314, 629) = 1

GCD of 314, 942, 629 is 1

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1. What is the GCD of 314, 942, 629?

GCD of 314, 942, 629 is 1

2. Where do I get the detailed procedure to find GCD of 314, 942, 629?

You can find a detailed procedure to find GCD of 314, 942, 629 on our page.

3. How to find GCD of 314, 942, 629 on a calculator?

You can find the GCD of 314, 942, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.