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, 278, 293, 346 i.e. 1 largest integer that divides all the numbers equally.
GCD of 348, 278, 293, 346 is 1
GCD(348, 278, 293, 346) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 348, 278, 293, 346 is 1
GCD(348, 278, 293, 346) = 1
Given Input numbers are 348, 278, 293, 346
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 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Greatest Common Divisior
We found the divisors of 348, 278, 293, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 278, 293, 346 is 1.
Therefore, GCD of numbers 348, 278, 293, 346 is 1
Given Input Data is 348, 278, 293, 346
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 278 is 2 x 139
Prime Factorization of 293 is 293
Prime Factorization of 346 is 2 x 173
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, 278) = 48372
GCD(348, 278) = ( 348 x 278 ) / 48372
GCD(348, 278) = 96744 / 48372
GCD(348, 278) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 293) = 586
GCD(2, 293) = ( 2 x 293 ) / 586
GCD(2, 293) = 586 / 586
GCD(2, 293) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
GCD of 348, 278, 293, 346 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 348, 278, 293, 346?
GCD of 348, 278, 293, 346 is 1
2. Where do I get the detailed procedure to find GCD of 348, 278, 293, 346?
You can find a detailed procedure to find GCD of 348, 278, 293, 346 on our page.
3. How to find GCD of 348, 278, 293, 346 on a calculator?
You can find the GCD of 348, 278, 293, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.