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 986, 702, 91, 438 i.e. 1 largest integer that divides all the numbers equally.
GCD of 986, 702, 91, 438 is 1
GCD(986, 702, 91, 438) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 986, 702, 91, 438 is 1
GCD(986, 702, 91, 438) = 1
Given Input numbers are 986, 702, 91, 438
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 986, 702, 91, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 702, 91, 438 is 1.
Therefore, GCD of numbers 986, 702, 91, 438 is 1
Given Input Data is 986, 702, 91, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 91 is 7 x 13
Prime Factorization of 438 is 2 x 3 x 73
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(986, 702) = 346086
GCD(986, 702) = ( 986 x 702 ) / 346086
GCD(986, 702) = 692172 / 346086
GCD(986, 702) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
GCD of 986, 702, 91, 438 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 986, 702, 91, 438?
GCD of 986, 702, 91, 438 is 1
2. Where do I get the detailed procedure to find GCD of 986, 702, 91, 438?
You can find a detailed procedure to find GCD of 986, 702, 91, 438 on our page.
3. How to find GCD of 986, 702, 91, 438 on a calculator?
You can find the GCD of 986, 702, 91, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.