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 347, 240, 217, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 347, 240, 217, 345 is 1
GCD(347, 240, 217, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 347, 240, 217, 345 is 1
GCD(347, 240, 217, 345) = 1
Given Input numbers are 347, 240, 217, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 347, 240, 217, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 240, 217, 345 is 1.
Therefore, GCD of numbers 347, 240, 217, 345 is 1
Given Input Data is 347, 240, 217, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 347 is 347
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 217 is 7 x 31
Prime Factorization of 345 is 3 x 5 x 23
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(347, 240) = 83280
GCD(347, 240) = ( 347 x 240 ) / 83280
GCD(347, 240) = 83280 / 83280
GCD(347, 240) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
GCD(1, 217) = 217 / 217
GCD(1, 217) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 347, 240, 217, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 347, 240, 217, 345?
GCD of 347, 240, 217, 345 is 1
2. Where do I get the detailed procedure to find GCD of 347, 240, 217, 345?
You can find a detailed procedure to find GCD of 347, 240, 217, 345 on our page.
3. How to find GCD of 347, 240, 217, 345 on a calculator?
You can find the GCD of 347, 240, 217, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.