GCD of 785, 725, 225, 718 Calculator

Given Input numbers are 785, 725, 225, 718

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 785, 725, 225, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 725, 225, 718 is 1.

Therefore, GCD of numbers 785, 725, 225, 718 is 1

Given Input Data is 785, 725, 225, 718

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 725 is 5 x 5 x 29

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

Prime Factorization of 718 is 2 x 359

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(785, 725) = 113825

GCD(785, 725) = ( 785 x 725 ) / 113825

GCD(785, 725) = 569125 / 113825

GCD(785, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 225

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

LCM(5, 225) = 225

GCD(5, 225) = ( 5 x 225 ) / 225

GCD(5, 225) = 1125 / 225

GCD(5, 225) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 718

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

LCM(5, 718) = 3590

GCD(5, 718) = ( 5 x 718 ) / 3590

GCD(5, 718) = 3590 / 3590

GCD(5, 718) = 1

GCD of 785, 725, 225, 718 is 1

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1. What is the GCD of 785, 725, 225, 718?

GCD of 785, 725, 225, 718 is 1

2. Where do I get the detailed procedure to find GCD of 785, 725, 225, 718?

You can find a detailed procedure to find GCD of 785, 725, 225, 718 on our page.

3. How to find GCD of 785, 725, 225, 718 on a calculator?

You can find the GCD of 785, 725, 225, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.