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 196, 229, 676, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 229, 676, 936 is 1
GCD(196, 229, 676, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 229, 676, 936 is 1
GCD(196, 229, 676, 936) = 1
Given Input numbers are 196, 229, 676, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 196, 229, 676, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 229, 676, 936 is 1.
Therefore, GCD of numbers 196, 229, 676, 936 is 1
Given Input Data is 196, 229, 676, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 229 is 229
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(196, 229) = 44884
GCD(196, 229) = ( 196 x 229 ) / 44884
GCD(196, 229) = 44884 / 44884
GCD(196, 229) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 676) = 676
GCD(1, 676) = ( 1 x 676 ) / 676
GCD(1, 676) = 676 / 676
GCD(1, 676) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 196, 229, 676, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 229, 676, 936?
GCD of 196, 229, 676, 936 is 1
2. Where do I get the detailed procedure to find GCD of 196, 229, 676, 936?
You can find a detailed procedure to find GCD of 196, 229, 676, 936 on our page.
3. How to find GCD of 196, 229, 676, 936 on a calculator?
You can find the GCD of 196, 229, 676, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.