GCD of 900, 839, 147 Calculator

Given Input numbers are 900, 839, 147

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

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 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 900, 839, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 839, 147 is 1.

Therefore, GCD of numbers 900, 839, 147 is 1

Given Input Data is 900, 839, 147

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

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

Prime Factorization of 839 is 839

Prime Factorization of 147 is 3 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(900, 839) = 755100

GCD(900, 839) = ( 900 x 839 ) / 755100

GCD(900, 839) = 755100 / 755100

GCD(900, 839) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 900, 839, 147 is 1

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1. What is the GCD of 900, 839, 147?

GCD of 900, 839, 147 is 1

2. Where do I get the detailed procedure to find GCD of 900, 839, 147?

You can find a detailed procedure to find GCD of 900, 839, 147 on our page.

3. How to find GCD of 900, 839, 147 on a calculator?

You can find the GCD of 900, 839, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.