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 701, 427, 14, 717 i.e. 1 largest integer that divides all the numbers equally.
GCD of 701, 427, 14, 717 is 1
GCD(701, 427, 14, 717) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 701, 427, 14, 717 is 1
GCD(701, 427, 14, 717) = 1
Given Input numbers are 701, 427, 14, 717
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 701, 427, 14, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 427, 14, 717 is 1.
Therefore, GCD of numbers 701, 427, 14, 717 is 1
Given Input Data is 701, 427, 14, 717
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 701 is 701
Prime Factorization of 427 is 7 x 61
Prime Factorization of 14 is 2 x 7
Prime Factorization of 717 is 3 x 239
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(701, 427) = 299327
GCD(701, 427) = ( 701 x 427 ) / 299327
GCD(701, 427) = 299327 / 299327
GCD(701, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
GCD(1, 717) = 717 / 717
GCD(1, 717) = 1
GCD of 701, 427, 14, 717 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 701, 427, 14, 717?
GCD of 701, 427, 14, 717 is 1
2. Where do I get the detailed procedure to find GCD of 701, 427, 14, 717?
You can find a detailed procedure to find GCD of 701, 427, 14, 717 on our page.
3. How to find GCD of 701, 427, 14, 717 on a calculator?
You can find the GCD of 701, 427, 14, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.