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 718, 476, 85, 434 i.e. 1 largest integer that divides all the numbers equally.
GCD of 718, 476, 85, 434 is 1
GCD(718, 476, 85, 434) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 718, 476, 85, 434 is 1
GCD(718, 476, 85, 434) = 1
Given Input numbers are 718, 476, 85, 434
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 718, 476, 85, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 476, 85, 434 is 1.
Therefore, GCD of numbers 718, 476, 85, 434 is 1
Given Input Data is 718, 476, 85, 434
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 718 is 2 x 359
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 85 is 5 x 17
Prime Factorization of 434 is 2 x 7 x 31
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(718, 476) = 170884
GCD(718, 476) = ( 718 x 476 ) / 170884
GCD(718, 476) = 341768 / 170884
GCD(718, 476) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 85) = 170
GCD(2, 85) = ( 2 x 85 ) / 170
GCD(2, 85) = 170 / 170
GCD(2, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 434) = 434
GCD(1, 434) = ( 1 x 434 ) / 434
GCD(1, 434) = 434 / 434
GCD(1, 434) = 1
GCD of 718, 476, 85, 434 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 718, 476, 85, 434?
GCD of 718, 476, 85, 434 is 1
2. Where do I get the detailed procedure to find GCD of 718, 476, 85, 434?
You can find a detailed procedure to find GCD of 718, 476, 85, 434 on our page.
3. How to find GCD of 718, 476, 85, 434 on a calculator?
You can find the GCD of 718, 476, 85, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.