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 35, 466, 718, 714 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 466, 718, 714 is 1
GCD(35, 466, 718, 714) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 466, 718, 714 is 1
GCD(35, 466, 718, 714) = 1
Given Input numbers are 35, 466, 718, 714
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Greatest Common Divisior
We found the divisors of 35, 466, 718, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 466, 718, 714 is 1.
Therefore, GCD of numbers 35, 466, 718, 714 is 1
Given Input Data is 35, 466, 718, 714
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 466 is 2 x 233
Prime Factorization of 718 is 2 x 359
Prime Factorization of 714 is 2 x 3 x 7 x 17
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(35, 466) = 16310
GCD(35, 466) = ( 35 x 466 ) / 16310
GCD(35, 466) = 16310 / 16310
GCD(35, 466) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
GCD(1, 718) = 718 / 718
GCD(1, 718) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
GCD of 35, 466, 718, 714 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 466, 718, 714?
GCD of 35, 466, 718, 714 is 1
2. Where do I get the detailed procedure to find GCD of 35, 466, 718, 714?
You can find a detailed procedure to find GCD of 35, 466, 718, 714 on our page.
3. How to find GCD of 35, 466, 718, 714 on a calculator?
You can find the GCD of 35, 466, 718, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.