GCD of 914, 628, 42, 992 Calculator

Given Input numbers are 914, 628, 42, 992

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 914, 628, 42, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 628, 42, 992 is 2.

Therefore, GCD of numbers 914, 628, 42, 992 is 2

Given Input Data is 914, 628, 42, 992

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(914, 628) = 286996

GCD(914, 628) = ( 914 x 628 ) / 286996

GCD(914, 628) = 573992 / 286996

GCD(914, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

GCD of 914, 628, 42, 992 is 2

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1. What is the GCD of 914, 628, 42, 992?

GCD of 914, 628, 42, 992 is 2

2. Where do I get the detailed procedure to find GCD of 914, 628, 42, 992?

You can find a detailed procedure to find GCD of 914, 628, 42, 992 on our page.

3. How to find GCD of 914, 628, 42, 992 on a calculator?

You can find the GCD of 914, 628, 42, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.