GCD of 56, 78, 30 Calculator
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 56, 78, 30 i.e. 2 largest integer that divides all the numbers equally.
GCD of 56, 78, 30 is 2
GCD(56, 78, 30) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 78, 30 is 2
GCD(56, 78, 30) = 2
GCDof 56,78,30 is 2
Given Input numbers are 56, 78, 30
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Greatest Common Divisior
We found the divisors of 56, 78, 30 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 78, 30 is 2.
Therefore, GCD of numbers 56, 78, 30 is 2
Given Input Data is 56, 78, 30
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 30 is 2 x 3 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 56, 78, 30 using LCM Formula
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(56, 78) = 2184
GCD(56, 78) = ( 56 x 78 ) / 2184
GCD(56, 78) = 4368 / 2184
GCD(56, 78) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 30) = 30
GCD(2, 30) = ( 2 x 30 ) / 30
GCD(2, 30) = 60 / 30
GCD(2, 30) = 2
GCD of 56, 78, 30 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 56, 78, 30
1. What is the GCD of 56, 78, 30?
GCD of 56, 78, 30 is 2
2. Where do I get the detailed procedure to find GCD of 56, 78, 30?
You can find a detailed procedure to find GCD of 56, 78, 30 on our page.
3. How to find GCD of 56, 78, 30 on a calculator?
You can find the GCD of 56, 78, 30 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.