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 422, 651, 308, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 422, 651, 308, 771 is 1
GCD(422, 651, 308, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 422, 651, 308, 771 is 1
GCD(422, 651, 308, 771) = 1
Given Input numbers are 422, 651, 308, 771
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 422, 651, 308, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 651, 308, 771 is 1.
Therefore, GCD of numbers 422, 651, 308, 771 is 1
Given Input Data is 422, 651, 308, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 422 is 2 x 211
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 771 is 3 x 257
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(422, 651) = 274722
GCD(422, 651) = ( 422 x 651 ) / 274722
GCD(422, 651) = 274722 / 274722
GCD(422, 651) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 422, 651, 308, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 422, 651, 308, 771?
GCD of 422, 651, 308, 771 is 1
2. Where do I get the detailed procedure to find GCD of 422, 651, 308, 771?
You can find a detailed procedure to find GCD of 422, 651, 308, 771 on our page.
3. How to find GCD of 422, 651, 308, 771 on a calculator?
You can find the GCD of 422, 651, 308, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.