GCD of 758, 770, 872, 422 Calculator

Given Input numbers are 758, 770, 872, 422

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 758, 770, 872, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 770, 872, 422 is 2.

Therefore, GCD of numbers 758, 770, 872, 422 is 2

Given Input Data is 758, 770, 872, 422

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 770 is 2 x 5 x 7 x 11

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

Prime Factorization of 422 is 2 x 211

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(758, 770) = 291830

GCD(758, 770) = ( 758 x 770 ) / 291830

GCD(758, 770) = 583660 / 291830

GCD(758, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 422

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

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

GCD(2, 422) = 844 / 422

GCD(2, 422) = 2

GCD of 758, 770, 872, 422 is 2

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1. What is the GCD of 758, 770, 872, 422?

GCD of 758, 770, 872, 422 is 2

2. Where do I get the detailed procedure to find GCD of 758, 770, 872, 422?

You can find a detailed procedure to find GCD of 758, 770, 872, 422 on our page.

3. How to find GCD of 758, 770, 872, 422 on a calculator?

You can find the GCD of 758, 770, 872, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.