GCD of 774, 900, 94, 854 Calculator

Given Input numbers are 774, 900, 94, 854

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 774, 900, 94, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 900, 94, 854 is 2.

Therefore, GCD of numbers 774, 900, 94, 854 is 2

Given Input Data is 774, 900, 94, 854

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 94 is 2 x 47

Prime Factorization of 854 is 2 x 7 x 61

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(774, 900) = 38700

GCD(774, 900) = ( 774 x 900 ) / 38700

GCD(774, 900) = 696600 / 38700

GCD(774, 900) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 94

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

LCM(18, 94) = 846

GCD(18, 94) = ( 18 x 94 ) / 846

GCD(18, 94) = 1692 / 846

GCD(18, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

GCD of 774, 900, 94, 854 is 2

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1. What is the GCD of 774, 900, 94, 854?

GCD of 774, 900, 94, 854 is 2

2. Where do I get the detailed procedure to find GCD of 774, 900, 94, 854?

You can find a detailed procedure to find GCD of 774, 900, 94, 854 on our page.

3. How to find GCD of 774, 900, 94, 854 on a calculator?

You can find the GCD of 774, 900, 94, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.