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 368, 722, 446, 497 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 722, 446, 497 is 1
GCD(368, 722, 446, 497) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 722, 446, 497 is 1
GCD(368, 722, 446, 497) = 1
Given Input numbers are 368, 722, 446, 497
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Greatest Common Divisior
We found the divisors of 368, 722, 446, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 722, 446, 497 is 1.
Therefore, GCD of numbers 368, 722, 446, 497 is 1
Given Input Data is 368, 722, 446, 497
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 446 is 2 x 223
Prime Factorization of 497 is 7 x 71
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(368, 722) = 132848
GCD(368, 722) = ( 368 x 722 ) / 132848
GCD(368, 722) = 265696 / 132848
GCD(368, 722) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 446) = 446
GCD(2, 446) = ( 2 x 446 ) / 446
GCD(2, 446) = 892 / 446
GCD(2, 446) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 497) = 994
GCD(2, 497) = ( 2 x 497 ) / 994
GCD(2, 497) = 994 / 994
GCD(2, 497) = 1
GCD of 368, 722, 446, 497 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 722, 446, 497?
GCD of 368, 722, 446, 497 is 1
2. Where do I get the detailed procedure to find GCD of 368, 722, 446, 497?
You can find a detailed procedure to find GCD of 368, 722, 446, 497 on our page.
3. How to find GCD of 368, 722, 446, 497 on a calculator?
You can find the GCD of 368, 722, 446, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.