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 290, 234, 37, 722 i.e. 1 largest integer that divides all the numbers equally.
GCD of 290, 234, 37, 722 is 1
GCD(290, 234, 37, 722) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 290, 234, 37, 722 is 1
GCD(290, 234, 37, 722) = 1
Given Input numbers are 290, 234, 37, 722
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Greatest Common Divisior
We found the divisors of 290, 234, 37, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 234, 37, 722 is 1.
Therefore, GCD of numbers 290, 234, 37, 722 is 1
Given Input Data is 290, 234, 37, 722
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 37 is 37
Prime Factorization of 722 is 2 x 19 x 19
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(290, 234) = 33930
GCD(290, 234) = ( 290 x 234 ) / 33930
GCD(290, 234) = 67860 / 33930
GCD(290, 234) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 37) = 74
GCD(2, 37) = ( 2 x 37 ) / 74
GCD(2, 37) = 74 / 74
GCD(2, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 722
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
GCD(1, 722) = 722 / 722
GCD(1, 722) = 1
GCD of 290, 234, 37, 722 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 290, 234, 37, 722?
GCD of 290, 234, 37, 722 is 1
2. Where do I get the detailed procedure to find GCD of 290, 234, 37, 722?
You can find a detailed procedure to find GCD of 290, 234, 37, 722 on our page.
3. How to find GCD of 290, 234, 37, 722 on a calculator?
You can find the GCD of 290, 234, 37, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.