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 402, 103, 58, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 103, 58, 851 is 1
GCD(402, 103, 58, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 103, 58, 851 is 1
GCD(402, 103, 58, 851) = 1
Given Input numbers are 402, 103, 58, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 402, 103, 58, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 103, 58, 851 is 1.
Therefore, GCD of numbers 402, 103, 58, 851 is 1
Given Input Data is 402, 103, 58, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 103 is 103
Prime Factorization of 58 is 2 x 29
Prime Factorization of 851 is 23 x 37
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(402, 103) = 41406
GCD(402, 103) = ( 402 x 103 ) / 41406
GCD(402, 103) = 41406 / 41406
GCD(402, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 402, 103, 58, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 103, 58, 851?
GCD of 402, 103, 58, 851 is 1
2. Where do I get the detailed procedure to find GCD of 402, 103, 58, 851?
You can find a detailed procedure to find GCD of 402, 103, 58, 851 on our page.
3. How to find GCD of 402, 103, 58, 851 on a calculator?
You can find the GCD of 402, 103, 58, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.