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, 158, 362, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 986, 158, 362, 275 is 1
GCD(986, 158, 362, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 986, 158, 362, 275 is 1
GCD(986, 158, 362, 275) = 1
Given Input numbers are 986, 158, 362, 275
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 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 986, 158, 362, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 158, 362, 275 is 1.
Therefore, GCD of numbers 986, 158, 362, 275 is 1
Given Input Data is 986, 158, 362, 275
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 158 is 2 x 79
Prime Factorization of 362 is 2 x 181
Prime Factorization of 275 is 5 x 5 x 11
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, 158) = 77894
GCD(986, 158) = ( 986 x 158 ) / 77894
GCD(986, 158) = 155788 / 77894
GCD(986, 158) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
GCD(2, 362) = 724 / 362
GCD(2, 362) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 275) = 550
GCD(2, 275) = ( 2 x 275 ) / 550
GCD(2, 275) = 550 / 550
GCD(2, 275) = 1
GCD of 986, 158, 362, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 986, 158, 362, 275?
GCD of 986, 158, 362, 275 is 1
2. Where do I get the detailed procedure to find GCD of 986, 158, 362, 275?
You can find a detailed procedure to find GCD of 986, 158, 362, 275 on our page.
3. How to find GCD of 986, 158, 362, 275 on a calculator?
You can find the GCD of 986, 158, 362, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.