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, 106, 66, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 266, 106, 66, 703 is 1
GCD(266, 106, 66, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 266, 106, 66, 703 is 1
GCD(266, 106, 66, 703) = 1
Given Input numbers are 266, 106, 66, 703
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 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
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 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 266, 106, 66, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 106, 66, 703 is 1.
Therefore, GCD of numbers 266, 106, 66, 703 is 1
Given Input Data is 266, 106, 66, 703
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 106 is 2 x 53
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 703 is 19 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, 106) = 14098
GCD(266, 106) = ( 266 x 106 ) / 14098
GCD(266, 106) = 28196 / 14098
GCD(266, 106) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 703) = 1406
GCD(2, 703) = ( 2 x 703 ) / 1406
GCD(2, 703) = 1406 / 1406
GCD(2, 703) = 1
GCD of 266, 106, 66, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 266, 106, 66, 703?
GCD of 266, 106, 66, 703 is 1
2. Where do I get the detailed procedure to find GCD of 266, 106, 66, 703?
You can find a detailed procedure to find GCD of 266, 106, 66, 703 on our page.
3. How to find GCD of 266, 106, 66, 703 on a calculator?
You can find the GCD of 266, 106, 66, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.