GCD of 105, 428, 52, 232 Calculator

Given Input numbers are 105, 428, 52, 232

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

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 105, 428, 52, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 428, 52, 232 is 1.

Therefore, GCD of numbers 105, 428, 52, 232 is 1

Given Input Data is 105, 428, 52, 232

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 52 is 2 x 2 x 13

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(105, 428) = 44940

GCD(105, 428) = ( 105 x 428 ) / 44940

GCD(105, 428) = 44940 / 44940

GCD(105, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 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 105, 428, 52, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 963, 67, 959
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• GCD of 940, 887, 60, 852
• GCD of 147, 389, 47, 828
• GCD of 860, 850, 95, 228

1. What is the GCD of 105, 428, 52, 232?

GCD of 105, 428, 52, 232 is 1

2. Where do I get the detailed procedure to find GCD of 105, 428, 52, 232?

You can find a detailed procedure to find GCD of 105, 428, 52, 232 on our page.

3. How to find GCD of 105, 428, 52, 232 on a calculator?

You can find the GCD of 105, 428, 52, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.