GCD of 906, 790, 992, 114 Calculator

Given Input numbers are 906, 790, 992, 114

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 906, 790, 992, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 790, 992, 114 is 2.

Therefore, GCD of numbers 906, 790, 992, 114 is 2

Given Input Data is 906, 790, 992, 114

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 790 is 2 x 5 x 79

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

Prime Factorization of 114 is 2 x 3 x 19

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(906, 790) = 357870

GCD(906, 790) = ( 906 x 790 ) / 357870

GCD(906, 790) = 715740 / 357870

GCD(906, 790) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 114

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

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

GCD(2, 114) = 228 / 114

GCD(2, 114) = 2

GCD of 906, 790, 992, 114 is 2

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1. What is the GCD of 906, 790, 992, 114?

GCD of 906, 790, 992, 114 is 2

2. Where do I get the detailed procedure to find GCD of 906, 790, 992, 114?

You can find a detailed procedure to find GCD of 906, 790, 992, 114 on our page.

3. How to find GCD of 906, 790, 992, 114 on a calculator?

You can find the GCD of 906, 790, 992, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.