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 356, 371, 83 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 371, 83 is 1
GCD(356, 371, 83) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 371, 83 is 1
GCD(356, 371, 83) = 1
Given Input numbers are 356, 371, 83
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Greatest Common Divisior
We found the divisors of 356, 371, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 371, 83 is 1.
Therefore, GCD of numbers 356, 371, 83 is 1
Given Input Data is 356, 371, 83
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 371 is 7 x 53
Prime Factorization of 83 is 83
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(356, 371) = 132076
GCD(356, 371) = ( 356 x 371 ) / 132076
GCD(356, 371) = 132076 / 132076
GCD(356, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
GCD of 356, 371, 83 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 371, 83?
GCD of 356, 371, 83 is 1
2. Where do I get the detailed procedure to find GCD of 356, 371, 83?
You can find a detailed procedure to find GCD of 356, 371, 83 on our page.
3. How to find GCD of 356, 371, 83 on a calculator?
You can find the GCD of 356, 371, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.