GCD of 682, 354, 787, 944 Calculator

Given Input numbers are 682, 354, 787, 944

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 682, 354, 787, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 354, 787, 944 is 1.

Therefore, GCD of numbers 682, 354, 787, 944 is 1

Given Input Data is 682, 354, 787, 944

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 354 is 2 x 3 x 59

Prime Factorization of 787 is 787

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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, 354) = 120714

GCD(682, 354) = ( 682 x 354 ) / 120714

GCD(682, 354) = 241428 / 120714

GCD(682, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 787

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

LCM(2, 787) = 1574

GCD(2, 787) = ( 2 x 787 ) / 1574

GCD(2, 787) = 1574 / 1574

GCD(2, 787) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 682, 354, 787, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 601, 547, 500
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• GCD of 913, 156, 475, 203
• GCD of 349, 804, 479, 260

1. What is the GCD of 682, 354, 787, 944?

GCD of 682, 354, 787, 944 is 1

2. Where do I get the detailed procedure to find GCD of 682, 354, 787, 944?

You can find a detailed procedure to find GCD of 682, 354, 787, 944 on our page.

3. How to find GCD of 682, 354, 787, 944 on a calculator?

You can find the GCD of 682, 354, 787, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.