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 179, 714, 68, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 179, 714, 68, 677 is 1
GCD(179, 714, 68, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 179, 714, 68, 677 is 1
GCD(179, 714, 68, 677) = 1
Given Input numbers are 179, 714, 68, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 179, 714, 68, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 714, 68, 677 is 1.
Therefore, GCD of numbers 179, 714, 68, 677 is 1
Given Input Data is 179, 714, 68, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 179 is 179
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 677 is 677
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(179, 714) = 127806
GCD(179, 714) = ( 179 x 714 ) / 127806
GCD(179, 714) = 127806 / 127806
GCD(179, 714) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 179, 714, 68, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 179, 714, 68, 677?
GCD of 179, 714, 68, 677 is 1
2. Where do I get the detailed procedure to find GCD of 179, 714, 68, 677?
You can find a detailed procedure to find GCD of 179, 714, 68, 677 on our page.
3. How to find GCD of 179, 714, 68, 677 on a calculator?
You can find the GCD of 179, 714, 68, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.