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 595, 160, 77, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 595, 160, 77, 178 is 1
GCD(595, 160, 77, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 595, 160, 77, 178 is 1
GCD(595, 160, 77, 178) = 1
Given Input numbers are 595, 160, 77, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 595, 160, 77, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 160, 77, 178 is 1.
Therefore, GCD of numbers 595, 160, 77, 178 is 1
Given Input Data is 595, 160, 77, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 77 is 7 x 11
Prime Factorization of 178 is 2 x 89
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(595, 160) = 19040
GCD(595, 160) = ( 595 x 160 ) / 19040
GCD(595, 160) = 95200 / 19040
GCD(595, 160) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 77) = 385
GCD(5, 77) = ( 5 x 77 ) / 385
GCD(5, 77) = 385 / 385
GCD(5, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 595, 160, 77, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 595, 160, 77, 178?
GCD of 595, 160, 77, 178 is 1
2. Where do I get the detailed procedure to find GCD of 595, 160, 77, 178?
You can find a detailed procedure to find GCD of 595, 160, 77, 178 on our page.
3. How to find GCD of 595, 160, 77, 178 on a calculator?
You can find the GCD of 595, 160, 77, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.