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 178, 691, 89, 119 i.e. 1 largest integer that divides all the numbers equally.
GCD of 178, 691, 89, 119 is 1
GCD(178, 691, 89, 119) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 178, 691, 89, 119 is 1
GCD(178, 691, 89, 119) = 1
Given Input numbers are 178, 691, 89, 119
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Greatest Common Divisior
We found the divisors of 178, 691, 89, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 691, 89, 119 is 1.
Therefore, GCD of numbers 178, 691, 89, 119 is 1
Given Input Data is 178, 691, 89, 119
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 178 is 2 x 89
Prime Factorization of 691 is 691
Prime Factorization of 89 is 89
Prime Factorization of 119 is 7 x 17
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(178, 691) = 122998
GCD(178, 691) = ( 178 x 691 ) / 122998
GCD(178, 691) = 122998 / 122998
GCD(178, 691) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
GCD of 178, 691, 89, 119 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 178, 691, 89, 119?
GCD of 178, 691, 89, 119 is 1
2. Where do I get the detailed procedure to find GCD of 178, 691, 89, 119?
You can find a detailed procedure to find GCD of 178, 691, 89, 119 on our page.
3. How to find GCD of 178, 691, 89, 119 on a calculator?
You can find the GCD of 178, 691, 89, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.