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 901, 843, 14, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 843, 14, 412 is 1
GCD(901, 843, 14, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 843, 14, 412 is 1
GCD(901, 843, 14, 412) = 1
Given Input numbers are 901, 843, 14, 412
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 901, 843, 14, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 843, 14, 412 is 1.
Therefore, GCD of numbers 901, 843, 14, 412 is 1
Given Input Data is 901, 843, 14, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 843 is 3 x 281
Prime Factorization of 14 is 2 x 7
Prime Factorization of 412 is 2 x 2 x 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(901, 843) = 759543
GCD(901, 843) = ( 901 x 843 ) / 759543
GCD(901, 843) = 759543 / 759543
GCD(901, 843) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 901, 843, 14, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 843, 14, 412?
GCD of 901, 843, 14, 412 is 1
2. Where do I get the detailed procedure to find GCD of 901, 843, 14, 412?
You can find a detailed procedure to find GCD of 901, 843, 14, 412 on our page.
3. How to find GCD of 901, 843, 14, 412 on a calculator?
You can find the GCD of 901, 843, 14, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.