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 102, 842, 93, 470 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 842, 93, 470 is 1
GCD(102, 842, 93, 470) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 842, 93, 470 is 1
GCD(102, 842, 93, 470) = 1
Given Input numbers are 102, 842, 93, 470
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Greatest Common Divisior
We found the divisors of 102, 842, 93, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 842, 93, 470 is 1.
Therefore, GCD of numbers 102, 842, 93, 470 is 1
Given Input Data is 102, 842, 93, 470
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 842 is 2 x 421
Prime Factorization of 93 is 3 x 31
Prime Factorization of 470 is 2 x 5 x 47
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(102, 842) = 42942
GCD(102, 842) = ( 102 x 842 ) / 42942
GCD(102, 842) = 85884 / 42942
GCD(102, 842) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 93) = 186
GCD(2, 93) = ( 2 x 93 ) / 186
GCD(2, 93) = 186 / 186
GCD(2, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
GCD of 102, 842, 93, 470 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 842, 93, 470?
GCD of 102, 842, 93, 470 is 1
2. Where do I get the detailed procedure to find GCD of 102, 842, 93, 470?
You can find a detailed procedure to find GCD of 102, 842, 93, 470 on our page.
3. How to find GCD of 102, 842, 93, 470 on a calculator?
You can find the GCD of 102, 842, 93, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.