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 912, 248, 66, 119 i.e. 1 largest integer that divides all the numbers equally.
GCD of 912, 248, 66, 119 is 1
GCD(912, 248, 66, 119) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 912, 248, 66, 119 is 1
GCD(912, 248, 66, 119) = 1
Given Input numbers are 912, 248, 66, 119
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
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 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Greatest Common Divisior
We found the divisors of 912, 248, 66, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 912, 248, 66, 119 is 1.
Therefore, GCD of numbers 912, 248, 66, 119 is 1
Given Input Data is 912, 248, 66, 119
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 119 is 7 x 17
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(912, 248) = 28272
GCD(912, 248) = ( 912 x 248 ) / 28272
GCD(912, 248) = 226176 / 28272
GCD(912, 248) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 66) = 264
GCD(8, 66) = ( 8 x 66 ) / 264
GCD(8, 66) = 528 / 264
GCD(8, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 119) = 238
GCD(2, 119) = ( 2 x 119 ) / 238
GCD(2, 119) = 238 / 238
GCD(2, 119) = 1
GCD of 912, 248, 66, 119 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 912, 248, 66, 119?
GCD of 912, 248, 66, 119 is 1
2. Where do I get the detailed procedure to find GCD of 912, 248, 66, 119?
You can find a detailed procedure to find GCD of 912, 248, 66, 119 on our page.
3. How to find GCD of 912, 248, 66, 119 on a calculator?
You can find the GCD of 912, 248, 66, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.