GCD of 102, 492, 775 Calculator

Given Input numbers are 102, 492, 775

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 102, 492, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 492, 775 is 1.

Therefore, GCD of numbers 102, 492, 775 is 1

Given Input Data is 102, 492, 775

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 775 is 5 x 5 x 31

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(102, 492) = 8364

GCD(102, 492) = ( 102 x 492 ) / 8364

GCD(102, 492) = 50184 / 8364

GCD(102, 492) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 775

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

LCM(6, 775) = 4650

GCD(6, 775) = ( 6 x 775 ) / 4650

GCD(6, 775) = 4650 / 4650

GCD(6, 775) = 1

GCD of 102, 492, 775 is 1

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1. What is the GCD of 102, 492, 775?

GCD of 102, 492, 775 is 1

2. Where do I get the detailed procedure to find GCD of 102, 492, 775?

You can find a detailed procedure to find GCD of 102, 492, 775 on our page.

3. How to find GCD of 102, 492, 775 on a calculator?

You can find the GCD of 102, 492, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.