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 177, 574, 742, 927 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 574, 742, 927 is 1
GCD(177, 574, 742, 927) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 574, 742, 927 is 1
GCD(177, 574, 742, 927) = 1
Given Input numbers are 177, 574, 742, 927
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
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 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Greatest Common Divisior
We found the divisors of 177, 574, 742, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 574, 742, 927 is 1.
Therefore, GCD of numbers 177, 574, 742, 927 is 1
Given Input Data is 177, 574, 742, 927
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 927 is 3 x 3 x 103
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(177, 574) = 101598
GCD(177, 574) = ( 177 x 574 ) / 101598
GCD(177, 574) = 101598 / 101598
GCD(177, 574) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 927
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 927) = 927
GCD(1, 927) = ( 1 x 927 ) / 927
GCD(1, 927) = 927 / 927
GCD(1, 927) = 1
GCD of 177, 574, 742, 927 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 574, 742, 927?
GCD of 177, 574, 742, 927 is 1
2. Where do I get the detailed procedure to find GCD of 177, 574, 742, 927?
You can find a detailed procedure to find GCD of 177, 574, 742, 927 on our page.
3. How to find GCD of 177, 574, 742, 927 on a calculator?
You can find the GCD of 177, 574, 742, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.