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 217, 703, 116, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 217, 703, 116, 707 is 1
GCD(217, 703, 116, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 217, 703, 116, 707 is 1
GCD(217, 703, 116, 707) = 1
Given Input numbers are 217, 703, 116, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 217, 703, 116, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 703, 116, 707 is 1.
Therefore, GCD of numbers 217, 703, 116, 707 is 1
Given Input Data is 217, 703, 116, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 217 is 7 x 31
Prime Factorization of 703 is 19 x 37
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 707 is 7 x 101
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(217, 703) = 152551
GCD(217, 703) = ( 217 x 703 ) / 152551
GCD(217, 703) = 152551 / 152551
GCD(217, 703) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 217, 703, 116, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 217, 703, 116, 707?
GCD of 217, 703, 116, 707 is 1
2. Where do I get the detailed procedure to find GCD of 217, 703, 116, 707?
You can find a detailed procedure to find GCD of 217, 703, 116, 707 on our page.
3. How to find GCD of 217, 703, 116, 707 on a calculator?
You can find the GCD of 217, 703, 116, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.