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 266, 942, 216, 185 i.e. 1 largest integer that divides all the numbers equally.
GCD of 266, 942, 216, 185 is 1
GCD(266, 942, 216, 185) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 266, 942, 216, 185 is 1
GCD(266, 942, 216, 185) = 1
Given Input numbers are 266, 942, 216, 185
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Greatest Common Divisior
We found the divisors of 266, 942, 216, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 942, 216, 185 is 1.
Therefore, GCD of numbers 266, 942, 216, 185 is 1
Given Input Data is 266, 942, 216, 185
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 185 is 5 x 37
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(266, 942) = 125286
GCD(266, 942) = ( 266 x 942 ) / 125286
GCD(266, 942) = 250572 / 125286
GCD(266, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
GCD(2, 216) = 432 / 216
GCD(2, 216) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 185
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 185) = 370
GCD(2, 185) = ( 2 x 185 ) / 370
GCD(2, 185) = 370 / 370
GCD(2, 185) = 1
GCD of 266, 942, 216, 185 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 266, 942, 216, 185?
GCD of 266, 942, 216, 185 is 1
2. Where do I get the detailed procedure to find GCD of 266, 942, 216, 185?
You can find a detailed procedure to find GCD of 266, 942, 216, 185 on our page.
3. How to find GCD of 266, 942, 216, 185 on a calculator?
You can find the GCD of 266, 942, 216, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.