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 93, 614, 990, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 93, 614, 990, 840 is 1
GCD(93, 614, 990, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 93, 614, 990, 840 is 1
GCD(93, 614, 990, 840) = 1
Given Input numbers are 93, 614, 990, 840
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Greatest Common Divisior
We found the divisors of 93, 614, 990, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 93, 614, 990, 840 is 1.
Therefore, GCD of numbers 93, 614, 990, 840 is 1
Given Input Data is 93, 614, 990, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 93 is 3 x 31
Prime Factorization of 614 is 2 x 307
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
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(93, 614) = 57102
GCD(93, 614) = ( 93 x 614 ) / 57102
GCD(93, 614) = 57102 / 57102
GCD(93, 614) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
GCD(1, 990) = 990 / 990
GCD(1, 990) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 93, 614, 990, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 93, 614, 990, 840?
GCD of 93, 614, 990, 840 is 1
2. Where do I get the detailed procedure to find GCD of 93, 614, 990, 840?
You can find a detailed procedure to find GCD of 93, 614, 990, 840 on our page.
3. How to find GCD of 93, 614, 990, 840 on a calculator?
You can find the GCD of 93, 614, 990, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.