GCD of 682, 896, 311, 748 Calculator

Given Input numbers are 682, 896, 311, 748

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 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 682, 896, 311, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 896, 311, 748 is 1.

Therefore, GCD of numbers 682, 896, 311, 748 is 1

Given Input Data is 682, 896, 311, 748

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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 311 is 311

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 896) = 305536

GCD(682, 896) = ( 682 x 896 ) / 305536

GCD(682, 896) = 611072 / 305536

GCD(682, 896) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 682, 896, 311, 748 is 1

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1. What is the GCD of 682, 896, 311, 748?

GCD of 682, 896, 311, 748 is 1

2. Where do I get the detailed procedure to find GCD of 682, 896, 311, 748?

You can find a detailed procedure to find GCD of 682, 896, 311, 748 on our page.

3. How to find GCD of 682, 896, 311, 748 on a calculator?

You can find the GCD of 682, 896, 311, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.