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 67, 215, 180, 702 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 215, 180, 702 is 1
GCD(67, 215, 180, 702) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 215, 180, 702 is 1
GCD(67, 215, 180, 702) = 1
Given Input numbers are 67, 215, 180, 702
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Greatest Common Divisior
We found the divisors of 67, 215, 180, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 215, 180, 702 is 1.
Therefore, GCD of numbers 67, 215, 180, 702 is 1
Given Input Data is 67, 215, 180, 702
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 215 is 5 x 43
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
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(67, 215) = 14405
GCD(67, 215) = ( 67 x 215 ) / 14405
GCD(67, 215) = 14405 / 14405
GCD(67, 215) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 702
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
GCD(1, 702) = 702 / 702
GCD(1, 702) = 1
GCD of 67, 215, 180, 702 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 215, 180, 702?
GCD of 67, 215, 180, 702 is 1
2. Where do I get the detailed procedure to find GCD of 67, 215, 180, 702?
You can find a detailed procedure to find GCD of 67, 215, 180, 702 on our page.
3. How to find GCD of 67, 215, 180, 702 on a calculator?
You can find the GCD of 67, 215, 180, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.