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 80, 380, 568, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 380, 568, 177 is 1
GCD(80, 380, 568, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 380, 568, 177 is 1
GCD(80, 380, 568, 177) = 1
Given Input numbers are 80, 380, 568, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 80, 380, 568, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 380, 568, 177 is 1.
Therefore, GCD of numbers 80, 380, 568, 177 is 1
Given Input Data is 80, 380, 568, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 177 is 3 x 59
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(80, 380) = 1520
GCD(80, 380) = ( 80 x 380 ) / 1520
GCD(80, 380) = 30400 / 1520
GCD(80, 380) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 568) = 2840
GCD(20, 568) = ( 20 x 568 ) / 2840
GCD(20, 568) = 11360 / 2840
GCD(20, 568) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 177) = 708
GCD(4, 177) = ( 4 x 177 ) / 708
GCD(4, 177) = 708 / 708
GCD(4, 177) = 1
GCD of 80, 380, 568, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 380, 568, 177?
GCD of 80, 380, 568, 177 is 1
2. Where do I get the detailed procedure to find GCD of 80, 380, 568, 177?
You can find a detailed procedure to find GCD of 80, 380, 568, 177 on our page.
3. How to find GCD of 80, 380, 568, 177 on a calculator?
You can find the GCD of 80, 380, 568, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.