GCD of 707, 725, 30, 609 Calculator

Given Input numbers are 707, 725, 30, 609

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 707, 725, 30, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 725, 30, 609 is 1.

Therefore, GCD of numbers 707, 725, 30, 609 is 1

Given Input Data is 707, 725, 30, 609

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 609 is 3 x 7 x 29

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(707, 725) = 512575

GCD(707, 725) = ( 707 x 725 ) / 512575

GCD(707, 725) = 512575 / 512575

GCD(707, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 707, 725, 30, 609 is 1

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1. What is the GCD of 707, 725, 30, 609?

GCD of 707, 725, 30, 609 is 1

2. Where do I get the detailed procedure to find GCD of 707, 725, 30, 609?

You can find a detailed procedure to find GCD of 707, 725, 30, 609 on our page.

3. How to find GCD of 707, 725, 30, 609 on a calculator?

You can find the GCD of 707, 725, 30, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.