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 996, 567, 245, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 567, 245, 938 is 1
GCD(996, 567, 245, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 567, 245, 938 is 1
GCD(996, 567, 245, 938) = 1
Given Input numbers are 996, 567, 245, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 996, 567, 245, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 567, 245, 938 is 1.
Therefore, GCD of numbers 996, 567, 245, 938 is 1
Given Input Data is 996, 567, 245, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 938 is 2 x 7 x 67
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(996, 567) = 188244
GCD(996, 567) = ( 996 x 567 ) / 188244
GCD(996, 567) = 564732 / 188244
GCD(996, 567) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 245) = 735
GCD(3, 245) = ( 3 x 245 ) / 735
GCD(3, 245) = 735 / 735
GCD(3, 245) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 996, 567, 245, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 567, 245, 938?
GCD of 996, 567, 245, 938 is 1
2. Where do I get the detailed procedure to find GCD of 996, 567, 245, 938?
You can find a detailed procedure to find GCD of 996, 567, 245, 938 on our page.
3. How to find GCD of 996, 567, 245, 938 on a calculator?
You can find the GCD of 996, 567, 245, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.