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 716, 740, 117, 663 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 740, 117, 663 is 1
GCD(716, 740, 117, 663) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 740, 117, 663 is 1
GCD(716, 740, 117, 663) = 1
Given Input numbers are 716, 740, 117, 663
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 716, 740, 117, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 740, 117, 663 is 1.
Therefore, GCD of numbers 716, 740, 117, 663 is 1
Given Input Data is 716, 740, 117, 663
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 663 is 3 x 13 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(716, 740) = 132460
GCD(716, 740) = ( 716 x 740 ) / 132460
GCD(716, 740) = 529840 / 132460
GCD(716, 740) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 117) = 468
GCD(4, 117) = ( 4 x 117 ) / 468
GCD(4, 117) = 468 / 468
GCD(4, 117) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
GCD(1, 663) = 663 / 663
GCD(1, 663) = 1
GCD of 716, 740, 117, 663 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 740, 117, 663?
GCD of 716, 740, 117, 663 is 1
2. Where do I get the detailed procedure to find GCD of 716, 740, 117, 663?
You can find a detailed procedure to find GCD of 716, 740, 117, 663 on our page.
3. How to find GCD of 716, 740, 117, 663 on a calculator?
You can find the GCD of 716, 740, 117, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.