GCD of 682, 296, 772, 937 Calculator

Given Input numbers are 682, 296, 772, 937

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

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 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Greatest Common Divisior

We found the divisors of 682, 296, 772, 937 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 296, 772, 937 is 1.

Therefore, GCD of numbers 682, 296, 772, 937 is 1

Given Input Data is 682, 296, 772, 937

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 937 is 937

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(682, 296) = 100936

GCD(682, 296) = ( 682 x 296 ) / 100936

GCD(682, 296) = 201872 / 100936

GCD(682, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 772

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

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

GCD(2, 772) = 1544 / 772

GCD(2, 772) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 937

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

LCM(2, 937) = 1874

GCD(2, 937) = ( 2 x 937 ) / 1874

GCD(2, 937) = 1874 / 1874

GCD(2, 937) = 1

GCD of 682, 296, 772, 937 is 1

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1. What is the GCD of 682, 296, 772, 937?

GCD of 682, 296, 772, 937 is 1

2. Where do I get the detailed procedure to find GCD of 682, 296, 772, 937?

You can find a detailed procedure to find GCD of 682, 296, 772, 937 on our page.

3. How to find GCD of 682, 296, 772, 937 on a calculator?

You can find the GCD of 682, 296, 772, 937 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.