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 66, 126, 311, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 126, 311, 950 is 1
GCD(66, 126, 311, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 126, 311, 950 is 1
GCD(66, 126, 311, 950) = 1
Given Input numbers are 66, 126, 311, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
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
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 66, 126, 311, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 126, 311, 950 is 1.
Therefore, GCD of numbers 66, 126, 311, 950 is 1
Given Input Data is 66, 126, 311, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 311 is 311
Prime Factorization of 950 is 2 x 5 x 5 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(66, 126) = 1386
GCD(66, 126) = ( 66 x 126 ) / 1386
GCD(66, 126) = 8316 / 1386
GCD(66, 126) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 311) = 1866
GCD(6, 311) = ( 6 x 311 ) / 1866
GCD(6, 311) = 1866 / 1866
GCD(6, 311) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 66, 126, 311, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 126, 311, 950?
GCD of 66, 126, 311, 950 is 1
2. Where do I get the detailed procedure to find GCD of 66, 126, 311, 950?
You can find a detailed procedure to find GCD of 66, 126, 311, 950 on our page.
3. How to find GCD of 66, 126, 311, 950 on a calculator?
You can find the GCD of 66, 126, 311, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.