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 21, 575, 926, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 575, 926, 847 is 1
GCD(21, 575, 926, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 575, 926, 847 is 1
GCD(21, 575, 926, 847) = 1
Given Input numbers are 21, 575, 926, 847
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 21, 575, 926, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 575, 926, 847 is 1.
Therefore, GCD of numbers 21, 575, 926, 847 is 1
Given Input Data is 21, 575, 926, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 926 is 2 x 463
Prime Factorization of 847 is 7 x 11 x 11
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(21, 575) = 12075
GCD(21, 575) = ( 21 x 575 ) / 12075
GCD(21, 575) = 12075 / 12075
GCD(21, 575) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 847) = 847
GCD(1, 847) = ( 1 x 847 ) / 847
GCD(1, 847) = 847 / 847
GCD(1, 847) = 1
GCD of 21, 575, 926, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 575, 926, 847?
GCD of 21, 575, 926, 847 is 1
2. Where do I get the detailed procedure to find GCD of 21, 575, 926, 847?
You can find a detailed procedure to find GCD of 21, 575, 926, 847 on our page.
3. How to find GCD of 21, 575, 926, 847 on a calculator?
You can find the GCD of 21, 575, 926, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.