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 70, 740, 899, 518 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 740, 899, 518 is 1
GCD(70, 740, 899, 518) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 740, 899, 518 is 1
GCD(70, 740, 899, 518) = 1
Given Input numbers are 70, 740, 899, 518
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
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 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 70, 740, 899, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 740, 899, 518 is 1.
Therefore, GCD of numbers 70, 740, 899, 518 is 1
Given Input Data is 70, 740, 899, 518
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 899 is 29 x 31
Prime Factorization of 518 is 2 x 7 x 37
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(70, 740) = 5180
GCD(70, 740) = ( 70 x 740 ) / 5180
GCD(70, 740) = 51800 / 5180
GCD(70, 740) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 899) = 8990
GCD(10, 899) = ( 10 x 899 ) / 8990
GCD(10, 899) = 8990 / 8990
GCD(10, 899) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
GCD of 70, 740, 899, 518 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 740, 899, 518?
GCD of 70, 740, 899, 518 is 1
2. Where do I get the detailed procedure to find GCD of 70, 740, 899, 518?
You can find a detailed procedure to find GCD of 70, 740, 899, 518 on our page.
3. How to find GCD of 70, 740, 899, 518 on a calculator?
You can find the GCD of 70, 740, 899, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.