GCD of 742, 177, 792, 108 Calculator

Given Input numbers are 742, 177, 792, 108

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 742, 177, 792, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 177, 792, 108 is 1.

Therefore, GCD of numbers 742, 177, 792, 108 is 1

Given Input Data is 742, 177, 792, 108

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 177 is 3 x 59

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(742, 177) = 131334

GCD(742, 177) = ( 742 x 177 ) / 131334

GCD(742, 177) = 131334 / 131334

GCD(742, 177) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 742, 177, 792, 108 is 1

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1. What is the GCD of 742, 177, 792, 108?

GCD of 742, 177, 792, 108 is 1

2. Where do I get the detailed procedure to find GCD of 742, 177, 792, 108?

You can find a detailed procedure to find GCD of 742, 177, 792, 108 on our page.

3. How to find GCD of 742, 177, 792, 108 on a calculator?

You can find the GCD of 742, 177, 792, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.