Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 742, 177, 792, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 177, 792, 108 is 1
GCD(742, 177, 792, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 177, 792, 108 is 1
GCD(742, 177, 792, 108) = 1
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
Here are some samples of GCD of Numbers calculations.
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.