GCD of 934, 682, 312, 677 Calculator

Given Input numbers are 934, 682, 312, 677

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

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 934, 682, 312, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 934, 682, 312, 677 is 1.

Therefore, GCD of numbers 934, 682, 312, 677 is 1

Given Input Data is 934, 682, 312, 677

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

Prime Factorization of 934 is 2 x 467

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 677 is 677

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(934, 682) = 318494

GCD(934, 682) = ( 934 x 682 ) / 318494

GCD(934, 682) = 636988 / 318494

GCD(934, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 677

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

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

GCD(2, 677) = 1354 / 1354

GCD(2, 677) = 1

GCD of 934, 682, 312, 677 is 1

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1. What is the GCD of 934, 682, 312, 677?

GCD of 934, 682, 312, 677 is 1

2. Where do I get the detailed procedure to find GCD of 934, 682, 312, 677?

You can find a detailed procedure to find GCD of 934, 682, 312, 677 on our page.

3. How to find GCD of 934, 682, 312, 677 on a calculator?

You can find the GCD of 934, 682, 312, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.