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 84, 824, 893, 803 i.e. 1 largest integer that divides all the numbers equally.
GCD of 84, 824, 893, 803 is 1
GCD(84, 824, 893, 803) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 84, 824, 893, 803 is 1
GCD(84, 824, 893, 803) = 1
Given Input numbers are 84, 824, 893, 803
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Greatest Common Divisior
We found the divisors of 84, 824, 893, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 824, 893, 803 is 1.
Therefore, GCD of numbers 84, 824, 893, 803 is 1
Given Input Data is 84, 824, 893, 803
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 893 is 19 x 47
Prime Factorization of 803 is 11 x 73
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(84, 824) = 17304
GCD(84, 824) = ( 84 x 824 ) / 17304
GCD(84, 824) = 69216 / 17304
GCD(84, 824) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 893
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 893) = 3572
GCD(4, 893) = ( 4 x 893 ) / 3572
GCD(4, 893) = 3572 / 3572
GCD(4, 893) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 803) = 803
GCD(1, 803) = ( 1 x 803 ) / 803
GCD(1, 803) = 803 / 803
GCD(1, 803) = 1
GCD of 84, 824, 893, 803 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 84, 824, 893, 803?
GCD of 84, 824, 893, 803 is 1
2. Where do I get the detailed procedure to find GCD of 84, 824, 893, 803?
You can find a detailed procedure to find GCD of 84, 824, 893, 803 on our page.
3. How to find GCD of 84, 824, 893, 803 on a calculator?
You can find the GCD of 84, 824, 893, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.