GCD of 57, 900, 846, 195 Calculator

Given Input numbers are 57, 900, 846, 195

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 57, 900, 846, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 900, 846, 195 is 3.

Therefore, GCD of numbers 57, 900, 846, 195 is 3

Given Input Data is 57, 900, 846, 195

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

Prime Factorization of 57 is 3 x 19

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 195 is 3 x 5 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(57, 900) = 17100

GCD(57, 900) = ( 57 x 900 ) / 17100

GCD(57, 900) = 51300 / 17100

GCD(57, 900) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 846

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

LCM(3, 846) = 846

GCD(3, 846) = ( 3 x 846 ) / 846

GCD(3, 846) = 2538 / 846

GCD(3, 846) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 195

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

LCM(3, 195) = 195

GCD(3, 195) = ( 3 x 195 ) / 195

GCD(3, 195) = 585 / 195

GCD(3, 195) = 3

GCD of 57, 900, 846, 195 is 3

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1. What is the GCD of 57, 900, 846, 195?

GCD of 57, 900, 846, 195 is 3

2. Where do I get the detailed procedure to find GCD of 57, 900, 846, 195?

You can find a detailed procedure to find GCD of 57, 900, 846, 195 on our page.

3. How to find GCD of 57, 900, 846, 195 on a calculator?

You can find the GCD of 57, 900, 846, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.