GCD of 785, 625, 906 Calculator

Given Input numbers are 785, 625, 906

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 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 785, 625, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 625, 906 is 1.

Therefore, GCD of numbers 785, 625, 906 is 1

Given Input Data is 785, 625, 906

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 906 is 2 x 3 x 151

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, 625) = 98125

GCD(785, 625) = ( 785 x 625 ) / 98125

GCD(785, 625) = 490625 / 98125

GCD(785, 625) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 906

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

LCM(5, 906) = 4530

GCD(5, 906) = ( 5 x 906 ) / 4530

GCD(5, 906) = 4530 / 4530

GCD(5, 906) = 1

GCD of 785, 625, 906 is 1

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1. What is the GCD of 785, 625, 906?

GCD of 785, 625, 906 is 1

2. Where do I get the detailed procedure to find GCD of 785, 625, 906?

You can find a detailed procedure to find GCD of 785, 625, 906 on our page.

3. How to find GCD of 785, 625, 906 on a calculator?

You can find the GCD of 785, 625, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.