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 322, 126, 64, 673 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 126, 64, 673 is 1
GCD(322, 126, 64, 673) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 126, 64, 673 is 1
GCD(322, 126, 64, 673) = 1
Given Input numbers are 322, 126, 64, 673
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 673
List of positive integer divisors of 673 that divides 673 without a remainder.
1, 673
Greatest Common Divisior
We found the divisors of 322, 126, 64, 673 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 126, 64, 673 is 1.
Therefore, GCD of numbers 322, 126, 64, 673 is 1
Given Input Data is 322, 126, 64, 673
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 673 is 673
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(322, 126) = 2898
GCD(322, 126) = ( 322 x 126 ) / 2898
GCD(322, 126) = 40572 / 2898
GCD(322, 126) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 64) = 448
GCD(14, 64) = ( 14 x 64 ) / 448
GCD(14, 64) = 896 / 448
GCD(14, 64) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 673
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 673) = 1346
GCD(2, 673) = ( 2 x 673 ) / 1346
GCD(2, 673) = 1346 / 1346
GCD(2, 673) = 1
GCD of 322, 126, 64, 673 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 126, 64, 673?
GCD of 322, 126, 64, 673 is 1
2. Where do I get the detailed procedure to find GCD of 322, 126, 64, 673?
You can find a detailed procedure to find GCD of 322, 126, 64, 673 on our page.
3. How to find GCD of 322, 126, 64, 673 on a calculator?
You can find the GCD of 322, 126, 64, 673 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.