GCD of 775, 682, 870, 322 Calculator

Given Input numbers are 775, 682, 870, 322

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

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 775, 682, 870, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 682, 870, 322 is 1.

Therefore, GCD of numbers 775, 682, 870, 322 is 1

Given Input Data is 775, 682, 870, 322

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 322 is 2 x 7 x 23

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(775, 682) = 17050

GCD(775, 682) = ( 775 x 682 ) / 17050

GCD(775, 682) = 528550 / 17050

GCD(775, 682) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 870

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

LCM(31, 870) = 26970

GCD(31, 870) = ( 31 x 870 ) / 26970

GCD(31, 870) = 26970 / 26970

GCD(31, 870) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 775, 682, 870, 322 is 1

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1. What is the GCD of 775, 682, 870, 322?

GCD of 775, 682, 870, 322 is 1

2. Where do I get the detailed procedure to find GCD of 775, 682, 870, 322?

You can find a detailed procedure to find GCD of 775, 682, 870, 322 on our page.

3. How to find GCD of 775, 682, 870, 322 on a calculator?

You can find the GCD of 775, 682, 870, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.