GCD of 872, 922, 190, 765 Calculator

Given Input numbers are 872, 922, 190, 765

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 922

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

1, 2, 461, 922

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 872, 922, 190, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 922, 190, 765 is 1.

Therefore, GCD of numbers 872, 922, 190, 765 is 1

Given Input Data is 872, 922, 190, 765

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 922 is 2 x 461

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 765 is 3 x 3 x 5 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(872, 922) = 401992

GCD(872, 922) = ( 872 x 922 ) / 401992

GCD(872, 922) = 803984 / 401992

GCD(872, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 190

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

LCM(2, 190) = 190

GCD(2, 190) = ( 2 x 190 ) / 190

GCD(2, 190) = 380 / 190

GCD(2, 190) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

GCD of 872, 922, 190, 765 is 1

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1. What is the GCD of 872, 922, 190, 765?

GCD of 872, 922, 190, 765 is 1

2. Where do I get the detailed procedure to find GCD of 872, 922, 190, 765?

You can find a detailed procedure to find GCD of 872, 922, 190, 765 on our page.

3. How to find GCD of 872, 922, 190, 765 on a calculator?

You can find the GCD of 872, 922, 190, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.