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 690, 922, 67, 218 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 922, 67, 218 is 1
GCD(690, 922, 67, 218) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 922, 67, 218 is 1
GCD(690, 922, 67, 218) = 1
Given Input numbers are 690, 922, 67, 218
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 690, 922, 67, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 922, 67, 218 is 1.
Therefore, GCD of numbers 690, 922, 67, 218 is 1
Given Input Data is 690, 922, 67, 218
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 922 is 2 x 461
Prime Factorization of 67 is 67
Prime Factorization of 218 is 2 x 109
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(690, 922) = 318090
GCD(690, 922) = ( 690 x 922 ) / 318090
GCD(690, 922) = 636180 / 318090
GCD(690, 922) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 67) = 134
GCD(2, 67) = ( 2 x 67 ) / 134
GCD(2, 67) = 134 / 134
GCD(2, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
GCD of 690, 922, 67, 218 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 922, 67, 218?
GCD of 690, 922, 67, 218 is 1
2. Where do I get the detailed procedure to find GCD of 690, 922, 67, 218?
You can find a detailed procedure to find GCD of 690, 922, 67, 218 on our page.
3. How to find GCD of 690, 922, 67, 218 on a calculator?
You can find the GCD of 690, 922, 67, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.