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 68, 422, 920, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 422, 920, 667 is 1
GCD(68, 422, 920, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 422, 920, 667 is 1
GCD(68, 422, 920, 667) = 1
Given Input numbers are 68, 422, 920, 667
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 68, 422, 920, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 422, 920, 667 is 1.
Therefore, GCD of numbers 68, 422, 920, 667 is 1
Given Input Data is 68, 422, 920, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 422 is 2 x 211
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 667 is 23 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(68, 422) = 14348
GCD(68, 422) = ( 68 x 422 ) / 14348
GCD(68, 422) = 28696 / 14348
GCD(68, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
GCD(2, 920) = 1840 / 920
GCD(2, 920) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 667) = 1334
GCD(2, 667) = ( 2 x 667 ) / 1334
GCD(2, 667) = 1334 / 1334
GCD(2, 667) = 1
GCD of 68, 422, 920, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 422, 920, 667?
GCD of 68, 422, 920, 667 is 1
2. Where do I get the detailed procedure to find GCD of 68, 422, 920, 667?
You can find a detailed procedure to find GCD of 68, 422, 920, 667 on our page.
3. How to find GCD of 68, 422, 920, 667 on a calculator?
You can find the GCD of 68, 422, 920, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.