GCD of 758, 900, 854 Calculator

Given Input numbers are 758, 900, 854

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 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 758, 900, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 900, 854 is 2.

Therefore, GCD of numbers 758, 900, 854 is 2

Given Input Data is 758, 900, 854

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

Prime Factorization of 758 is 2 x 379

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

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(758, 900) = 341100

GCD(758, 900) = ( 758 x 900 ) / 341100

GCD(758, 900) = 682200 / 341100

GCD(758, 900) = 2

Step2:

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 758, 900, 854 is 2

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• GCD of 783, 501, 690
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1. What is the GCD of 758, 900, 854?

GCD of 758, 900, 854 is 2

2. Where do I get the detailed procedure to find GCD of 758, 900, 854?

You can find a detailed procedure to find GCD of 758, 900, 854 on our page.

3. How to find GCD of 758, 900, 854 on a calculator?

You can find the GCD of 758, 900, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.