GCD of 185, 892, 25, 109 Calculator

Given Input numbers are 185, 892, 25, 109

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 109

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

1, 109

Greatest Common Divisior

We found the divisors of 185, 892, 25, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 892, 25, 109 is 1.

Therefore, GCD of numbers 185, 892, 25, 109 is 1

Given Input Data is 185, 892, 25, 109

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 25 is 5 x 5

Prime Factorization of 109 is 109

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(185, 892) = 165020

GCD(185, 892) = ( 185 x 892 ) / 165020

GCD(185, 892) = 165020 / 165020

GCD(185, 892) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 185, 892, 25, 109 is 1

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1. What is the GCD of 185, 892, 25, 109?

GCD of 185, 892, 25, 109 is 1

2. Where do I get the detailed procedure to find GCD of 185, 892, 25, 109?

You can find a detailed procedure to find GCD of 185, 892, 25, 109 on our page.

3. How to find GCD of 185, 892, 25, 109 on a calculator?

You can find the GCD of 185, 892, 25, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.