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, 560, 10, 992 i.e. 2 largest integer that divides all the numbers equally.
GCD of 856, 560, 10, 992 is 2
GCD(856, 560, 10, 992) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 560, 10, 992 is 2
GCD(856, 560, 10, 992) = 2
Given Input numbers are 856, 560, 10, 992
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 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Greatest Common Divisior
We found the divisors of 856, 560, 10, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 560, 10, 992 is 2.
Therefore, GCD of numbers 856, 560, 10, 992 is 2
Given Input Data is 856, 560, 10, 992
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 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 10 is 2 x 5
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
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(856, 560) = 59920
GCD(856, 560) = ( 856 x 560 ) / 59920
GCD(856, 560) = 479360 / 59920
GCD(856, 560) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 10) = 40
GCD(8, 10) = ( 8 x 10 ) / 40
GCD(8, 10) = 80 / 40
GCD(8, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 992
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 992) = 992
GCD(2, 992) = ( 2 x 992 ) / 992
GCD(2, 992) = 1984 / 992
GCD(2, 992) = 2
GCD of 856, 560, 10, 992 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 856, 560, 10, 992?
GCD of 856, 560, 10, 992 is 2
2. Where do I get the detailed procedure to find GCD of 856, 560, 10, 992?
You can find a detailed procedure to find GCD of 856, 560, 10, 992 on our page.
3. How to find GCD of 856, 560, 10, 992 on a calculator?
You can find the GCD of 856, 560, 10, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.