GCD of 414, 468, 237 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 414, 468, 237 i.e. 3 largest integer that divides all the numbers equally.
GCD of 414, 468, 237 is 3
GCD(414, 468, 237) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 468, 237 is 3
GCD(414, 468, 237) = 3
GCDof 414,468,237 is 3
Given Input numbers are 414, 468, 237
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Greatest Common Divisior
We found the divisors of 414, 468, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 468, 237 is 3.
Therefore, GCD of numbers 414, 468, 237 is 3
Given Input Data is 414, 468, 237
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 237 is 3 x 79
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 414, 468, 237 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(414, 468) = 10764
GCD(414, 468) = ( 414 x 468 ) / 10764
GCD(414, 468) = 193752 / 10764
GCD(414, 468) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 237) = 1422
GCD(18, 237) = ( 18 x 237 ) / 1422
GCD(18, 237) = 4266 / 1422
GCD(18, 237) = 3
GCD of 414, 468, 237 is 3
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FAQs on GCD of numbers 414, 468, 237
1. What is the GCD of 414, 468, 237?
GCD of 414, 468, 237 is 3
2. Where do I get the detailed procedure to find GCD of 414, 468, 237?
You can find a detailed procedure to find GCD of 414, 468, 237 on our page.
3. How to find GCD of 414, 468, 237 on a calculator?
You can find the GCD of 414, 468, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.