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, 15, 879 i.e. 1 largest integer that divides all the numbers equally.
GCD of 856, 744, 15, 879 is 1
GCD(856, 744, 15, 879) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 744, 15, 879 is 1
GCD(856, 744, 15, 879) = 1
Given Input numbers are 856, 744, 15, 879
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 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Greatest Common Divisior
We found the divisors of 856, 744, 15, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 744, 15, 879 is 1.
Therefore, GCD of numbers 856, 744, 15, 879 is 1
Given Input Data is 856, 744, 15, 879
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 15 is 3 x 5
Prime Factorization of 879 is 3 x 293
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 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 15) = 120
GCD(8, 15) = ( 8 x 15 ) / 120
GCD(8, 15) = 120 / 120
GCD(8, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 879) = 879
GCD(1, 879) = ( 1 x 879 ) / 879
GCD(1, 879) = 879 / 879
GCD(1, 879) = 1
GCD of 856, 744, 15, 879 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 856, 744, 15, 879?
GCD of 856, 744, 15, 879 is 1
2. Where do I get the detailed procedure to find GCD of 856, 744, 15, 879?
You can find a detailed procedure to find GCD of 856, 744, 15, 879 on our page.
3. How to find GCD of 856, 744, 15, 879 on a calculator?
You can find the GCD of 856, 744, 15, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.