GCD of 109, 625, 695, 271 Calculator

Given Input numbers are 109, 625, 695, 271

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 625

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

1, 5, 25, 125, 625

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 109, 625, 695, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 625, 695, 271 is 1.

Therefore, GCD of numbers 109, 625, 695, 271 is 1

Given Input Data is 109, 625, 695, 271

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

Prime Factorization of 109 is 109

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 271 is 271

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, 625) = 68125

GCD(109, 625) = ( 109 x 625 ) / 68125

GCD(109, 625) = 68125 / 68125

GCD(109, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 109, 625, 695, 271 is 1

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1. What is the GCD of 109, 625, 695, 271?

GCD of 109, 625, 695, 271 is 1

2. Where do I get the detailed procedure to find GCD of 109, 625, 695, 271?

You can find a detailed procedure to find GCD of 109, 625, 695, 271 on our page.

3. How to find GCD of 109, 625, 695, 271 on a calculator?

You can find the GCD of 109, 625, 695, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.