GCD of 857, 700, 225 Calculator

Given Input numbers are 857, 700, 225

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

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 857, 700, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 700, 225 is 1.

Therefore, GCD of numbers 857, 700, 225 is 1

Given Input Data is 857, 700, 225

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

Prime Factorization of 857 is 857

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(857, 700) = 599900

GCD(857, 700) = ( 857 x 700 ) / 599900

GCD(857, 700) = 599900 / 599900

GCD(857, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 857, 700, 225 is 1

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1. What is the GCD of 857, 700, 225?

GCD of 857, 700, 225 is 1

2. Where do I get the detailed procedure to find GCD of 857, 700, 225?

You can find a detailed procedure to find GCD of 857, 700, 225 on our page.

3. How to find GCD of 857, 700, 225 on a calculator?

You can find the GCD of 857, 700, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.