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 86, 371, 332, 997 i.e. 1 largest integer that divides all the numbers equally.
GCD of 86, 371, 332, 997 is 1
GCD(86, 371, 332, 997) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 86, 371, 332, 997 is 1
GCD(86, 371, 332, 997) = 1
Given Input numbers are 86, 371, 332, 997
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Greatest Common Divisior
We found the divisors of 86, 371, 332, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 371, 332, 997 is 1.
Therefore, GCD of numbers 86, 371, 332, 997 is 1
Given Input Data is 86, 371, 332, 997
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 86 is 2 x 43
Prime Factorization of 371 is 7 x 53
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 997 is 997
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(86, 371) = 31906
GCD(86, 371) = ( 86 x 371 ) / 31906
GCD(86, 371) = 31906 / 31906
GCD(86, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
GCD(1, 332) = 332 / 332
GCD(1, 332) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
GCD(1, 997) = 997 / 997
GCD(1, 997) = 1
GCD of 86, 371, 332, 997 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 86, 371, 332, 997?
GCD of 86, 371, 332, 997 is 1
2. Where do I get the detailed procedure to find GCD of 86, 371, 332, 997?
You can find a detailed procedure to find GCD of 86, 371, 332, 997 on our page.
3. How to find GCD of 86, 371, 332, 997 on a calculator?
You can find the GCD of 86, 371, 332, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.