GCD of 794, 942, 634, 886 Calculator

Given Input numbers are 794, 942, 634, 886

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 794, 942, 634, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 942, 634, 886 is 2.

Therefore, GCD of numbers 794, 942, 634, 886 is 2

Given Input Data is 794, 942, 634, 886

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

Prime Factorization of 794 is 2 x 397

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 634 is 2 x 317

Prime Factorization of 886 is 2 x 443

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(794, 942) = 373974

GCD(794, 942) = ( 794 x 942 ) / 373974

GCD(794, 942) = 747948 / 373974

GCD(794, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 886

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

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

GCD(2, 886) = 1772 / 886

GCD(2, 886) = 2

GCD of 794, 942, 634, 886 is 2

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1. What is the GCD of 794, 942, 634, 886?

GCD of 794, 942, 634, 886 is 2

2. Where do I get the detailed procedure to find GCD of 794, 942, 634, 886?

You can find a detailed procedure to find GCD of 794, 942, 634, 886 on our page.

3. How to find GCD of 794, 942, 634, 886 on a calculator?

You can find the GCD of 794, 942, 634, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.