GCD of 109, 689, 725, 455 Calculator

Given Input numbers are 109, 689, 725, 455

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 109, 689, 725, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 689, 725, 455 is 1.

Therefore, GCD of numbers 109, 689, 725, 455 is 1

Given Input Data is 109, 689, 725, 455

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

Prime Factorization of 109 is 109

Prime Factorization of 689 is 13 x 53

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 455 is 5 x 7 x 13

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(109, 689) = 75101

GCD(109, 689) = ( 109 x 689 ) / 75101

GCD(109, 689) = 75101 / 75101

GCD(109, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

GCD of 109, 689, 725, 455 is 1

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1. What is the GCD of 109, 689, 725, 455?

GCD of 109, 689, 725, 455 is 1

2. Where do I get the detailed procedure to find GCD of 109, 689, 725, 455?

You can find a detailed procedure to find GCD of 109, 689, 725, 455 on our page.

3. How to find GCD of 109, 689, 725, 455 on a calculator?

You can find the GCD of 109, 689, 725, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.