GCD of 842, 748, 962, 422 Calculator

Given Input numbers are 842, 748, 962, 422

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

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 842, 748, 962, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 748, 962, 422 is 2.

Therefore, GCD of numbers 842, 748, 962, 422 is 2

Given Input Data is 842, 748, 962, 422

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 962 is 2 x 13 x 37

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(842, 748) = 314908

GCD(842, 748) = ( 842 x 748 ) / 314908

GCD(842, 748) = 629816 / 314908

GCD(842, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 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 842, 748, 962, 422 is 2

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1. What is the GCD of 842, 748, 962, 422?

GCD of 842, 748, 962, 422 is 2

2. Where do I get the detailed procedure to find GCD of 842, 748, 962, 422?

You can find a detailed procedure to find GCD of 842, 748, 962, 422 on our page.

3. How to find GCD of 842, 748, 962, 422 on a calculator?

You can find the GCD of 842, 748, 962, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.