GCD of 725, 780, 650 Calculator

Given Input numbers are 725, 780, 650

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

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 725, 780, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 780, 650 is 5.

Therefore, GCD of numbers 725, 780, 650 is 5

Given Input Data is 725, 780, 650

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 650 is 2 x 5 x 5 x 13

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(725, 780) = 113100

GCD(725, 780) = ( 725 x 780 ) / 113100

GCD(725, 780) = 565500 / 113100

GCD(725, 780) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 650

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

LCM(5, 650) = 650

GCD(5, 650) = ( 5 x 650 ) / 650

GCD(5, 650) = 3250 / 650

GCD(5, 650) = 5

GCD of 725, 780, 650 is 5

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1. What is the GCD of 725, 780, 650?

GCD of 725, 780, 650 is 5

2. Where do I get the detailed procedure to find GCD of 725, 780, 650?

You can find a detailed procedure to find GCD of 725, 780, 650 on our page.

3. How to find GCD of 725, 780, 650 on a calculator?

You can find the GCD of 725, 780, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.