GCD of 874, 682, 965, 363 Calculator

Given Input numbers are 874, 682, 965, 363

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 874, 682, 965, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 682, 965, 363 is 1.

Therefore, GCD of numbers 874, 682, 965, 363 is 1

Given Input Data is 874, 682, 965, 363

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 965 is 5 x 193

Prime Factorization of 363 is 3 x 11 x 11

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(874, 682) = 298034

GCD(874, 682) = ( 874 x 682 ) / 298034

GCD(874, 682) = 596068 / 298034

GCD(874, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 965

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

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

GCD(2, 965) = 1930 / 1930

GCD(2, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 874, 682, 965, 363 is 1

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1. What is the GCD of 874, 682, 965, 363?

GCD of 874, 682, 965, 363 is 1

2. Where do I get the detailed procedure to find GCD of 874, 682, 965, 363?

You can find a detailed procedure to find GCD of 874, 682, 965, 363 on our page.

3. How to find GCD of 874, 682, 965, 363 on a calculator?

You can find the GCD of 874, 682, 965, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.