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 350, 871, 21, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 871, 21, 921 is 1
GCD(350, 871, 21, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 871, 21, 921 is 1
GCD(350, 871, 21, 921) = 1
Given Input numbers are 350, 871, 21, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 350, 871, 21, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 871, 21, 921 is 1.
Therefore, GCD of numbers 350, 871, 21, 921 is 1
Given Input Data is 350, 871, 21, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 871 is 13 x 67
Prime Factorization of 21 is 3 x 7
Prime Factorization of 921 is 3 x 307
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(350, 871) = 304850
GCD(350, 871) = ( 350 x 871 ) / 304850
GCD(350, 871) = 304850 / 304850
GCD(350, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 350, 871, 21, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 871, 21, 921?
GCD of 350, 871, 21, 921 is 1
2. Where do I get the detailed procedure to find GCD of 350, 871, 21, 921?
You can find a detailed procedure to find GCD of 350, 871, 21, 921 on our page.
3. How to find GCD of 350, 871, 21, 921 on a calculator?
You can find the GCD of 350, 871, 21, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.