GCD of 109, 195, 125, 740 Calculator

Given Input numbers are 109, 195, 125, 740

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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 109, 195, 125, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 195, 125, 740 is 1.

Therefore, GCD of numbers 109, 195, 125, 740 is 1

Given Input Data is 109, 195, 125, 740

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

Prime Factorization of 109 is 109

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

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, 195) = 21255

GCD(109, 195) = ( 109 x 195 ) / 21255

GCD(109, 195) = 21255 / 21255

GCD(109, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 109, 195, 125, 740 is 1

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1. What is the GCD of 109, 195, 125, 740?

GCD of 109, 195, 125, 740 is 1

2. Where do I get the detailed procedure to find GCD of 109, 195, 125, 740?

You can find a detailed procedure to find GCD of 109, 195, 125, 740 on our page.

3. How to find GCD of 109, 195, 125, 740 on a calculator?

You can find the GCD of 109, 195, 125, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.