GCD of 84, 30, 51 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 84, 30, 51 i.e. 3 largest integer that divides all the numbers equally.
GCD of 84, 30, 51 is 3
GCD(84, 30, 51) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 30, 51 is 3
GCD(84, 30, 51) = 3
GCDof 84,30,51 is 3
Given Input numbers are 84, 30, 51
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Greatest Common Divisior
We found the divisors of 84, 30, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 30, 51 is 3.
Therefore, GCD of numbers 84, 30, 51 is 3
Given Input Data is 84, 30, 51
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 51 is 3 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 84, 30, 51 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(84, 30) = 420
GCD(84, 30) = ( 84 x 30 ) / 420
GCD(84, 30) = 2520 / 420
GCD(84, 30) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 51) = 102
GCD(6, 51) = ( 6 x 51 ) / 102
GCD(6, 51) = 306 / 102
GCD(6, 51) = 3
GCD of 84, 30, 51 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 84, 30, 51
1. What is the GCD of 84, 30, 51?
GCD of 84, 30, 51 is 3
2. Where do I get the detailed procedure to find GCD of 84, 30, 51?
You can find a detailed procedure to find GCD of 84, 30, 51 on our page.
3. How to find GCD of 84, 30, 51 on a calculator?
You can find the GCD of 84, 30, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.