GCD of 354, 792, 21 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 354, 792, 21 i.e. 3 largest integer that divides all the numbers equally.
GCD of 354, 792, 21 is 3
GCD(354, 792, 21) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 354, 792, 21 is 3
GCD(354, 792, 21) = 3
GCDof 354,792,21 is 3
Given Input numbers are 354, 792, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Greatest Common Divisior
We found the divisors of 354, 792, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 792, 21 is 3.
Therefore, GCD of numbers 354, 792, 21 is 3
Given Input Data is 354, 792, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 21 is 3 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 354, 792, 21 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(354, 792) = 46728
GCD(354, 792) = ( 354 x 792 ) / 46728
GCD(354, 792) = 280368 / 46728
GCD(354, 792) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 21) = 42
GCD(6, 21) = ( 6 x 21 ) / 42
GCD(6, 21) = 126 / 42
GCD(6, 21) = 3
GCD of 354, 792, 21 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 354, 792, 21
1. What is the GCD of 354, 792, 21?
GCD of 354, 792, 21 is 3
2. Where do I get the detailed procedure to find GCD of 354, 792, 21?
You can find a detailed procedure to find GCD of 354, 792, 21 on our page.
3. How to find GCD of 354, 792, 21 on a calculator?
You can find the GCD of 354, 792, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.