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 237, 402, 843 i.e. 3 largest integer that divides all the numbers equally.
GCD of 237, 402, 843 is 3
GCD(237, 402, 843) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 237, 402, 843 is 3
GCD(237, 402, 843) = 3
Given Input numbers are 237, 402, 843
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 237, 402, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 402, 843 is 3.
Therefore, GCD of numbers 237, 402, 843 is 3
Given Input Data is 237, 402, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 237 is 3 x 79
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 843 is 3 x 281
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(237, 402) = 31758
GCD(237, 402) = ( 237 x 402 ) / 31758
GCD(237, 402) = 95274 / 31758
GCD(237, 402) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 843) = 843
GCD(3, 843) = ( 3 x 843 ) / 843
GCD(3, 843) = 2529 / 843
GCD(3, 843) = 3
GCD of 237, 402, 843 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 237, 402, 843?
GCD of 237, 402, 843 is 3
2. Where do I get the detailed procedure to find GCD of 237, 402, 843?
You can find a detailed procedure to find GCD of 237, 402, 843 on our page.
3. How to find GCD of 237, 402, 843 on a calculator?
You can find the GCD of 237, 402, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.