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 429, 327, 273, 948 i.e. 3 largest integer that divides all the numbers equally.
GCD of 429, 327, 273, 948 is 3
GCD(429, 327, 273, 948) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 429, 327, 273, 948 is 3
GCD(429, 327, 273, 948) = 3
Given Input numbers are 429, 327, 273, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 429, 327, 273, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 327, 273, 948 is 3.
Therefore, GCD of numbers 429, 327, 273, 948 is 3
Given Input Data is 429, 327, 273, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 327 is 3 x 109
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 948 is 2 x 2 x 3 x 79
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(429, 327) = 46761
GCD(429, 327) = ( 429 x 327 ) / 46761
GCD(429, 327) = 140283 / 46761
GCD(429, 327) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 273) = 273
GCD(3, 273) = ( 3 x 273 ) / 273
GCD(3, 273) = 819 / 273
GCD(3, 273) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 948) = 948
GCD(3, 948) = ( 3 x 948 ) / 948
GCD(3, 948) = 2844 / 948
GCD(3, 948) = 3
GCD of 429, 327, 273, 948 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 429, 327, 273, 948?
GCD of 429, 327, 273, 948 is 3
2. Where do I get the detailed procedure to find GCD of 429, 327, 273, 948?
You can find a detailed procedure to find GCD of 429, 327, 273, 948 on our page.
3. How to find GCD of 429, 327, 273, 948 on a calculator?
You can find the GCD of 429, 327, 273, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.