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, 753, 357 i.e. 3 largest integer that divides all the numbers equally.
GCD of 348, 753, 357 is 3
GCD(348, 753, 357) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 348, 753, 357 is 3
GCD(348, 753, 357) = 3
Given Input numbers are 348, 753, 357
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 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 348, 753, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 753, 357 is 3.
Therefore, GCD of numbers 348, 753, 357 is 3
Given Input Data is 348, 753, 357
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 753 is 3 x 251
Prime Factorization of 357 is 3 x 7 x 17
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(348, 753) = 87348
GCD(348, 753) = ( 348 x 753 ) / 87348
GCD(348, 753) = 262044 / 87348
GCD(348, 753) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
GCD(3, 357) = 1071 / 357
GCD(3, 357) = 3
GCD of 348, 753, 357 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 348, 753, 357?
GCD of 348, 753, 357 is 3
2. Where do I get the detailed procedure to find GCD of 348, 753, 357?
You can find a detailed procedure to find GCD of 348, 753, 357 on our page.
3. How to find GCD of 348, 753, 357 on a calculator?
You can find the GCD of 348, 753, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.