GCD of 842, 468, 56 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 842, 468, 56 quickly. Get the easiest ways to solve the greatest common divisor of 842, 468, 56 i.e 2 in different methods as follows.
Given Input numbers are 842, 468, 56
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 56 :
The positive integer divisors of 56 that completely divides 56 are.
1, 2, 4, 7, 8, 14, 28, 56
GCD of numbers is the greatest common divisor
So, the GCD (842, 468, 56) = 2.
Given numbers are 842, 468, 56
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 56 are 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 842, 468, 56 is 2.
Steps to Calculate GCD of 842, 468, 56 using LCM Formula
Given numbers are 842, 468, 56
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 468) = 197028
GCD(842, 468) = ( 842 x 468 ) / 197028
= 842 / 468
= 842
Step2:
LCM(2, 56) = 56
GCD(2, 56) = ( 2 x 56 ) / 56
= 2 / 56
= 2
So, Greatest Common Divisor of 842, 468, 56 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 842, 468, 56
Given numbers are 842, 468, 56
The greatest common divisor of numbers 842, 468, 56 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 468, 56 is 2.
FAQs on GCD of 842, 468, 56 Calculator
1. What is the GCD of 842, 468, 56?
GCD of given numbers 842, 468, 56 is 2
2. How to calculate the greatest common divisor of 842, 468, 56?
We can find the highest common divisor of 842, 468, 56 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 842, 468, 56 i.e 2.
3. How can I use the GCD of 842, 468, 56Calculator?
Out the numbers 842, 468, 56 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.