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 891, 693, 501, 314 i.e. 1 largest integer that divides all the numbers equally.
GCD of 891, 693, 501, 314 is 1
GCD(891, 693, 501, 314) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 891, 693, 501, 314 is 1
GCD(891, 693, 501, 314) = 1
Given Input numbers are 891, 693, 501, 314
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 891, 693, 501, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 693, 501, 314 is 1.
Therefore, GCD of numbers 891, 693, 501, 314 is 1
Given Input Data is 891, 693, 501, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 501 is 3 x 167
Prime Factorization of 314 is 2 x 157
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(891, 693) = 6237
GCD(891, 693) = ( 891 x 693 ) / 6237
GCD(891, 693) = 617463 / 6237
GCD(891, 693) = 99
Step2:
Here we consider the GCD from the above i.e. 99 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(99, 501) = 16533
GCD(99, 501) = ( 99 x 501 ) / 16533
GCD(99, 501) = 49599 / 16533
GCD(99, 501) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 314) = 942
GCD(3, 314) = ( 3 x 314 ) / 942
GCD(3, 314) = 942 / 942
GCD(3, 314) = 1
GCD of 891, 693, 501, 314 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 891, 693, 501, 314?
GCD of 891, 693, 501, 314 is 1
2. Where do I get the detailed procedure to find GCD of 891, 693, 501, 314?
You can find a detailed procedure to find GCD of 891, 693, 501, 314 on our page.
3. How to find GCD of 891, 693, 501, 314 on a calculator?
You can find the GCD of 891, 693, 501, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.