GCD of 109, 692, 925, 232 Calculator

Given Input numbers are 109, 692, 925, 232

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 109, 692, 925, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 692, 925, 232 is 1.

Therefore, GCD of numbers 109, 692, 925, 232 is 1

Given Input Data is 109, 692, 925, 232

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

Prime Factorization of 109 is 109

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 232 is 2 x 2 x 2 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(109, 692) = 75428

GCD(109, 692) = ( 109 x 692 ) / 75428

GCD(109, 692) = 75428 / 75428

GCD(109, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 925

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

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

GCD(1, 925) = 925 / 925

GCD(1, 925) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 109, 692, 925, 232 is 1

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1. What is the GCD of 109, 692, 925, 232?

GCD of 109, 692, 925, 232 is 1

2. Where do I get the detailed procedure to find GCD of 109, 692, 925, 232?

You can find a detailed procedure to find GCD of 109, 692, 925, 232 on our page.

3. How to find GCD of 109, 692, 925, 232 on a calculator?

You can find the GCD of 109, 692, 925, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.