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 348, 468, 83, 456 i.e. 1 largest integer that divides all the numbers equally.
GCD of 348, 468, 83, 456 is 1
GCD(348, 468, 83, 456) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 348, 468, 83, 456 is 1
GCD(348, 468, 83, 456) = 1
Given Input numbers are 348, 468, 83, 456
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Greatest Common Divisior
We found the divisors of 348, 468, 83, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 468, 83, 456 is 1.
Therefore, GCD of numbers 348, 468, 83, 456 is 1
Given Input Data is 348, 468, 83, 456
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 83 is 83
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
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(348, 468) = 13572
GCD(348, 468) = ( 348 x 468 ) / 13572
GCD(348, 468) = 162864 / 13572
GCD(348, 468) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 83) = 996
GCD(12, 83) = ( 12 x 83 ) / 996
GCD(12, 83) = 996 / 996
GCD(12, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
GCD(1, 456) = 456 / 456
GCD(1, 456) = 1
GCD of 348, 468, 83, 456 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 348, 468, 83, 456?
GCD of 348, 468, 83, 456 is 1
2. Where do I get the detailed procedure to find GCD of 348, 468, 83, 456?
You can find a detailed procedure to find GCD of 348, 468, 83, 456 on our page.
3. How to find GCD of 348, 468, 83, 456 on a calculator?
You can find the GCD of 348, 468, 83, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.