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, 964, 11, 687 i.e. 1 largest integer that divides all the numbers equally.
GCD of 266, 964, 11, 687 is 1
GCD(266, 964, 11, 687) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 266, 964, 11, 687 is 1
GCD(266, 964, 11, 687) = 1
Given Input numbers are 266, 964, 11, 687
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 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Greatest Common Divisior
We found the divisors of 266, 964, 11, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 964, 11, 687 is 1.
Therefore, GCD of numbers 266, 964, 11, 687 is 1
Given Input Data is 266, 964, 11, 687
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 964 is 2 x 2 x 241
Prime Factorization of 11 is 11
Prime Factorization of 687 is 3 x 229
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, 964) = 128212
GCD(266, 964) = ( 266 x 964 ) / 128212
GCD(266, 964) = 256424 / 128212
GCD(266, 964) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 11) = 22
GCD(2, 11) = ( 2 x 11 ) / 22
GCD(2, 11) = 22 / 22
GCD(2, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
GCD of 266, 964, 11, 687 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 266, 964, 11, 687?
GCD of 266, 964, 11, 687 is 1
2. Where do I get the detailed procedure to find GCD of 266, 964, 11, 687?
You can find a detailed procedure to find GCD of 266, 964, 11, 687 on our page.
3. How to find GCD of 266, 964, 11, 687 on a calculator?
You can find the GCD of 266, 964, 11, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.