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 101, 306, 961, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 101, 306, 961, 126 is 1
GCD(101, 306, 961, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 101, 306, 961, 126 is 1
GCD(101, 306, 961, 126) = 1
Given Input numbers are 101, 306, 961, 126
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
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
Greatest Common Divisior
We found the divisors of 101, 306, 961, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 306, 961, 126 is 1.
Therefore, GCD of numbers 101, 306, 961, 126 is 1
Given Input Data is 101, 306, 961, 126
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 101 is 101
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 961 is 31 x 31
Prime Factorization of 126 is 2 x 3 x 3 x 7
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(101, 306) = 30906
GCD(101, 306) = ( 101 x 306 ) / 30906
GCD(101, 306) = 30906 / 30906
GCD(101, 306) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
GCD(1, 961) = 961 / 961
GCD(1, 961) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
GCD(1, 126) = 126 / 126
GCD(1, 126) = 1
GCD of 101, 306, 961, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 101, 306, 961, 126?
GCD of 101, 306, 961, 126 is 1
2. Where do I get the detailed procedure to find GCD of 101, 306, 961, 126?
You can find a detailed procedure to find GCD of 101, 306, 961, 126 on our page.
3. How to find GCD of 101, 306, 961, 126 on a calculator?
You can find the GCD of 101, 306, 961, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.