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 235, 368, 698, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 235, 368, 698, 440 is 1
GCD(235, 368, 698, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 235, 368, 698, 440 is 1
GCD(235, 368, 698, 440) = 1
Given Input numbers are 235, 368, 698, 440
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 235, 368, 698, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 368, 698, 440 is 1.
Therefore, GCD of numbers 235, 368, 698, 440 is 1
Given Input Data is 235, 368, 698, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 235 is 5 x 47
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 698 is 2 x 349
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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(235, 368) = 86480
GCD(235, 368) = ( 235 x 368 ) / 86480
GCD(235, 368) = 86480 / 86480
GCD(235, 368) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
GCD(1, 698) = 698 / 698
GCD(1, 698) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
GCD of 235, 368, 698, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 235, 368, 698, 440?
GCD of 235, 368, 698, 440 is 1
2. Where do I get the detailed procedure to find GCD of 235, 368, 698, 440?
You can find a detailed procedure to find GCD of 235, 368, 698, 440 on our page.
3. How to find GCD of 235, 368, 698, 440 on a calculator?
You can find the GCD of 235, 368, 698, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.