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 117, 342, 167, 487 i.e. 1 largest integer that divides all the numbers equally.
GCD of 117, 342, 167, 487 is 1
GCD(117, 342, 167, 487) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 117, 342, 167, 487 is 1
GCD(117, 342, 167, 487) = 1
Given Input numbers are 117, 342, 167, 487
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Greatest Common Divisior
We found the divisors of 117, 342, 167, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 342, 167, 487 is 1.
Therefore, GCD of numbers 117, 342, 167, 487 is 1
Given Input Data is 117, 342, 167, 487
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 167 is 167
Prime Factorization of 487 is 487
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(117, 342) = 4446
GCD(117, 342) = ( 117 x 342 ) / 4446
GCD(117, 342) = 40014 / 4446
GCD(117, 342) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 167) = 1503
GCD(9, 167) = ( 9 x 167 ) / 1503
GCD(9, 167) = 1503 / 1503
GCD(9, 167) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 487) = 487
GCD(1, 487) = ( 1 x 487 ) / 487
GCD(1, 487) = 487 / 487
GCD(1, 487) = 1
GCD of 117, 342, 167, 487 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 117, 342, 167, 487?
GCD of 117, 342, 167, 487 is 1
2. Where do I get the detailed procedure to find GCD of 117, 342, 167, 487?
You can find a detailed procedure to find GCD of 117, 342, 167, 487 on our page.
3. How to find GCD of 117, 342, 167, 487 on a calculator?
You can find the GCD of 117, 342, 167, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.