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 713, 898, 70, 986 i.e. 1 largest integer that divides all the numbers equally.
GCD of 713, 898, 70, 986 is 1
GCD(713, 898, 70, 986) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 713, 898, 70, 986 is 1
GCD(713, 898, 70, 986) = 1
Given Input numbers are 713, 898, 70, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
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 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 713, 898, 70, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 898, 70, 986 is 1.
Therefore, GCD of numbers 713, 898, 70, 986 is 1
Given Input Data is 713, 898, 70, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 713 is 23 x 31
Prime Factorization of 898 is 2 x 449
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 986 is 2 x 17 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(713, 898) = 640274
GCD(713, 898) = ( 713 x 898 ) / 640274
GCD(713, 898) = 640274 / 640274
GCD(713, 898) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
GCD(1, 986) = 986 / 986
GCD(1, 986) = 1
GCD of 713, 898, 70, 986 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 713, 898, 70, 986?
GCD of 713, 898, 70, 986 is 1
2. Where do I get the detailed procedure to find GCD of 713, 898, 70, 986?
You can find a detailed procedure to find GCD of 713, 898, 70, 986 on our page.
3. How to find GCD of 713, 898, 70, 986 on a calculator?
You can find the GCD of 713, 898, 70, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.