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 177, 340, 134, 319 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 340, 134, 319 is 1
GCD(177, 340, 134, 319) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 340, 134, 319 is 1
GCD(177, 340, 134, 319) = 1
Given Input numbers are 177, 340, 134, 319
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Greatest Common Divisior
We found the divisors of 177, 340, 134, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 340, 134, 319 is 1.
Therefore, GCD of numbers 177, 340, 134, 319 is 1
Given Input Data is 177, 340, 134, 319
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 134 is 2 x 67
Prime Factorization of 319 is 11 x 29
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(177, 340) = 60180
GCD(177, 340) = ( 177 x 340 ) / 60180
GCD(177, 340) = 60180 / 60180
GCD(177, 340) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 319) = 319
GCD(1, 319) = ( 1 x 319 ) / 319
GCD(1, 319) = 319 / 319
GCD(1, 319) = 1
GCD of 177, 340, 134, 319 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 340, 134, 319?
GCD of 177, 340, 134, 319 is 1
2. Where do I get the detailed procedure to find GCD of 177, 340, 134, 319?
You can find a detailed procedure to find GCD of 177, 340, 134, 319 on our page.
3. How to find GCD of 177, 340, 134, 319 on a calculator?
You can find the GCD of 177, 340, 134, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.