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 862, 424, 56 i.e. 2 largest integer that divides all the numbers equally.
GCD of 862, 424, 56 is 2
GCD(862, 424, 56) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 862, 424, 56 is 2
GCD(862, 424, 56) = 2
Given Input numbers are 862, 424, 56
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Greatest Common Divisior
We found the divisors of 862, 424, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 424, 56 is 2.
Therefore, GCD of numbers 862, 424, 56 is 2
Given Input Data is 862, 424, 56
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 862 is 2 x 431
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 56 is 2 x 2 x 2 x 7
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(862, 424) = 182744
GCD(862, 424) = ( 862 x 424 ) / 182744
GCD(862, 424) = 365488 / 182744
GCD(862, 424) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 56) = 56
GCD(2, 56) = ( 2 x 56 ) / 56
GCD(2, 56) = 112 / 56
GCD(2, 56) = 2
GCD of 862, 424, 56 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 862, 424, 56?
GCD of 862, 424, 56 is 2
2. Where do I get the detailed procedure to find GCD of 862, 424, 56?
You can find a detailed procedure to find GCD of 862, 424, 56 on our page.
3. How to find GCD of 862, 424, 56 on a calculator?
You can find the GCD of 862, 424, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.