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, 884, 64, 136 i.e. 2 largest integer that divides all the numbers equally.
GCD of 262, 884, 64, 136 is 2
GCD(262, 884, 64, 136) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 884, 64, 136 is 2
GCD(262, 884, 64, 136) = 2
Given Input numbers are 262, 884, 64, 136
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 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Greatest Common Divisior
We found the divisors of 262, 884, 64, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 884, 64, 136 is 2.
Therefore, GCD of numbers 262, 884, 64, 136 is 2
Given Input Data is 262, 884, 64, 136
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 884 is 2 x 2 x 13 x 17
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 136 is 2 x 2 x 2 x 17
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, 884) = 115804
GCD(262, 884) = ( 262 x 884 ) / 115804
GCD(262, 884) = 231608 / 115804
GCD(262, 884) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 64) = 64
GCD(2, 64) = ( 2 x 64 ) / 64
GCD(2, 64) = 128 / 64
GCD(2, 64) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
GCD(2, 136) = 272 / 136
GCD(2, 136) = 2
GCD of 262, 884, 64, 136 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 884, 64, 136?
GCD of 262, 884, 64, 136 is 2
2. Where do I get the detailed procedure to find GCD of 262, 884, 64, 136?
You can find a detailed procedure to find GCD of 262, 884, 64, 136 on our page.
3. How to find GCD of 262, 884, 64, 136 on a calculator?
You can find the GCD of 262, 884, 64, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.