GCD of 695, 742, 922, 321 Calculator

Given Input numbers are 695, 742, 922, 321

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

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 695, 742, 922, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 742, 922, 321 is 1.

Therefore, GCD of numbers 695, 742, 922, 321 is 1

Given Input Data is 695, 742, 922, 321

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 922 is 2 x 461

Prime Factorization of 321 is 3 x 107

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(695, 742) = 515690

GCD(695, 742) = ( 695 x 742 ) / 515690

GCD(695, 742) = 515690 / 515690

GCD(695, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 695, 742, 922, 321 is 1

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1. What is the GCD of 695, 742, 922, 321?

GCD of 695, 742, 922, 321 is 1

2. Where do I get the detailed procedure to find GCD of 695, 742, 922, 321?

You can find a detailed procedure to find GCD of 695, 742, 922, 321 on our page.

3. How to find GCD of 695, 742, 922, 321 on a calculator?

You can find the GCD of 695, 742, 922, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.