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, 904, 507, 754 i.e. 1 largest integer that divides all the numbers equally.
GCD of 718, 904, 507, 754 is 1
GCD(718, 904, 507, 754) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 718, 904, 507, 754 is 1
GCD(718, 904, 507, 754) = 1
Given Input numbers are 718, 904, 507, 754
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 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Greatest Common Divisior
We found the divisors of 718, 904, 507, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 904, 507, 754 is 1.
Therefore, GCD of numbers 718, 904, 507, 754 is 1
Given Input Data is 718, 904, 507, 754
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 718 is 2 x 359
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 754 is 2 x 13 x 29
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, 904) = 324536
GCD(718, 904) = ( 718 x 904 ) / 324536
GCD(718, 904) = 649072 / 324536
GCD(718, 904) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 507) = 1014
GCD(2, 507) = ( 2 x 507 ) / 1014
GCD(2, 507) = 1014 / 1014
GCD(2, 507) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
GCD of 718, 904, 507, 754 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 718, 904, 507, 754?
GCD of 718, 904, 507, 754 is 1
2. Where do I get the detailed procedure to find GCD of 718, 904, 507, 754?
You can find a detailed procedure to find GCD of 718, 904, 507, 754 on our page.
3. How to find GCD of 718, 904, 507, 754 on a calculator?
You can find the GCD of 718, 904, 507, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.