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 174, 871, 986, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 174, 871, 986, 357 is 1
GCD(174, 871, 986, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 174, 871, 986, 357 is 1
GCD(174, 871, 986, 357) = 1
Given Input numbers are 174, 871, 986, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
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 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 174, 871, 986, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 871, 986, 357 is 1.
Therefore, GCD of numbers 174, 871, 986, 357 is 1
Given Input Data is 174, 871, 986, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 871 is 13 x 67
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 357 is 3 x 7 x 17
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(174, 871) = 151554
GCD(174, 871) = ( 174 x 871 ) / 151554
GCD(174, 871) = 151554 / 151554
GCD(174, 871) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 174, 871, 986, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 174, 871, 986, 357?
GCD of 174, 871, 986, 357 is 1
2. Where do I get the detailed procedure to find GCD of 174, 871, 986, 357?
You can find a detailed procedure to find GCD of 174, 871, 986, 357 on our page.
3. How to find GCD of 174, 871, 986, 357 on a calculator?
You can find the GCD of 174, 871, 986, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.