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 856, 744, 41, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 856, 744, 41, 264 is 1
GCD(856, 744, 41, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 744, 41, 264 is 1
GCD(856, 744, 41, 264) = 1
Given Input numbers are 856, 744, 41, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 856, 744, 41, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 744, 41, 264 is 1.
Therefore, GCD of numbers 856, 744, 41, 264 is 1
Given Input Data is 856, 744, 41, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 41 is 41
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
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(856, 744) = 79608
GCD(856, 744) = ( 856 x 744 ) / 79608
GCD(856, 744) = 636864 / 79608
GCD(856, 744) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 41) = 328
GCD(8, 41) = ( 8 x 41 ) / 328
GCD(8, 41) = 328 / 328
GCD(8, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 856, 744, 41, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 856, 744, 41, 264?
GCD of 856, 744, 41, 264 is 1
2. Where do I get the detailed procedure to find GCD of 856, 744, 41, 264?
You can find a detailed procedure to find GCD of 856, 744, 41, 264 on our page.
3. How to find GCD of 856, 744, 41, 264 on a calculator?
You can find the GCD of 856, 744, 41, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.