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, 839, 70, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 839, 70, 349 is 1
GCD(421, 839, 70, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 839, 70, 349 is 1
GCD(421, 839, 70, 349) = 1
Given Input numbers are 421, 839, 70, 349
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 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 421, 839, 70, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 839, 70, 349 is 1.
Therefore, GCD of numbers 421, 839, 70, 349 is 1
Given Input Data is 421, 839, 70, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 839 is 839
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 349 is 349
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, 839) = 353219
GCD(421, 839) = ( 421 x 839 ) / 353219
GCD(421, 839) = 353219 / 353219
GCD(421, 839) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 421, 839, 70, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 839, 70, 349?
GCD of 421, 839, 70, 349 is 1
2. Where do I get the detailed procedure to find GCD of 421, 839, 70, 349?
You can find a detailed procedure to find GCD of 421, 839, 70, 349 on our page.
3. How to find GCD of 421, 839, 70, 349 on a calculator?
You can find the GCD of 421, 839, 70, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.