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 262, 536, 68, 366 i.e. 2 largest integer that divides all the numbers equally.
GCD of 262, 536, 68, 366 is 2
GCD(262, 536, 68, 366) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 536, 68, 366 is 2
GCD(262, 536, 68, 366) = 2
Given Input numbers are 262, 536, 68, 366
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 262, 536, 68, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 536, 68, 366 is 2.
Therefore, GCD of numbers 262, 536, 68, 366 is 2
Given Input Data is 262, 536, 68, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 366 is 2 x 3 x 61
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(262, 536) = 70216
GCD(262, 536) = ( 262 x 536 ) / 70216
GCD(262, 536) = 140432 / 70216
GCD(262, 536) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 68) = 68
GCD(2, 68) = ( 2 x 68 ) / 68
GCD(2, 68) = 136 / 68
GCD(2, 68) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 366) = 366
GCD(2, 366) = ( 2 x 366 ) / 366
GCD(2, 366) = 732 / 366
GCD(2, 366) = 2
GCD of 262, 536, 68, 366 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 536, 68, 366?
GCD of 262, 536, 68, 366 is 2
2. Where do I get the detailed procedure to find GCD of 262, 536, 68, 366?
You can find a detailed procedure to find GCD of 262, 536, 68, 366 on our page.
3. How to find GCD of 262, 536, 68, 366 on a calculator?
You can find the GCD of 262, 536, 68, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.