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 77, 172, 179, 627 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 172, 179, 627 is 1
GCD(77, 172, 179, 627) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 172, 179, 627 is 1
GCD(77, 172, 179, 627) = 1
Given Input numbers are 77, 172, 179, 627
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Greatest Common Divisior
We found the divisors of 77, 172, 179, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 172, 179, 627 is 1.
Therefore, GCD of numbers 77, 172, 179, 627 is 1
Given Input Data is 77, 172, 179, 627
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 179 is 179
Prime Factorization of 627 is 3 x 11 x 19
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(77, 172) = 13244
GCD(77, 172) = ( 77 x 172 ) / 13244
GCD(77, 172) = 13244 / 13244
GCD(77, 172) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 627) = 627
GCD(1, 627) = ( 1 x 627 ) / 627
GCD(1, 627) = 627 / 627
GCD(1, 627) = 1
GCD of 77, 172, 179, 627 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 172, 179, 627?
GCD of 77, 172, 179, 627 is 1
2. Where do I get the detailed procedure to find GCD of 77, 172, 179, 627?
You can find a detailed procedure to find GCD of 77, 172, 179, 627 on our page.
3. How to find GCD of 77, 172, 179, 627 on a calculator?
You can find the GCD of 77, 172, 179, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.