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 421, 262, 18, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 262, 18, 103 is 1
GCD(421, 262, 18, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 262, 18, 103 is 1
GCD(421, 262, 18, 103) = 1
Given Input numbers are 421, 262, 18, 103
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 421, 262, 18, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 262, 18, 103 is 1.
Therefore, GCD of numbers 421, 262, 18, 103 is 1
Given Input Data is 421, 262, 18, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 262 is 2 x 131
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 103 is 103
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(421, 262) = 110302
GCD(421, 262) = ( 421 x 262 ) / 110302
GCD(421, 262) = 110302 / 110302
GCD(421, 262) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
GCD of 421, 262, 18, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 262, 18, 103?
GCD of 421, 262, 18, 103 is 1
2. Where do I get the detailed procedure to find GCD of 421, 262, 18, 103?
You can find a detailed procedure to find GCD of 421, 262, 18, 103 on our page.
3. How to find GCD of 421, 262, 18, 103 on a calculator?
You can find the GCD of 421, 262, 18, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.