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 905, 420, 347, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 905, 420, 347, 123 is 1
GCD(905, 420, 347, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 905, 420, 347, 123 is 1
GCD(905, 420, 347, 123) = 1
Given Input numbers are 905, 420, 347, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 905, 420, 347, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 420, 347, 123 is 1.
Therefore, GCD of numbers 905, 420, 347, 123 is 1
Given Input Data is 905, 420, 347, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 905 is 5 x 181
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 347 is 347
Prime Factorization of 123 is 3 x 41
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(905, 420) = 76020
GCD(905, 420) = ( 905 x 420 ) / 76020
GCD(905, 420) = 380100 / 76020
GCD(905, 420) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 347) = 1735
GCD(5, 347) = ( 5 x 347 ) / 1735
GCD(5, 347) = 1735 / 1735
GCD(5, 347) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
GCD of 905, 420, 347, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 905, 420, 347, 123?
GCD of 905, 420, 347, 123 is 1
2. Where do I get the detailed procedure to find GCD of 905, 420, 347, 123?
You can find a detailed procedure to find GCD of 905, 420, 347, 123 on our page.
3. How to find GCD of 905, 420, 347, 123 on a calculator?
You can find the GCD of 905, 420, 347, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.