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 424, 990, 85, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 990, 85, 734 is 1
GCD(424, 990, 85, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 990, 85, 734 is 1
GCD(424, 990, 85, 734) = 1
Given Input numbers are 424, 990, 85, 734
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
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 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 424, 990, 85, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 990, 85, 734 is 1.
Therefore, GCD of numbers 424, 990, 85, 734 is 1
Given Input Data is 424, 990, 85, 734
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 85 is 5 x 17
Prime Factorization of 734 is 2 x 367
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(424, 990) = 209880
GCD(424, 990) = ( 424 x 990 ) / 209880
GCD(424, 990) = 419760 / 209880
GCD(424, 990) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 85) = 170
GCD(2, 85) = ( 2 x 85 ) / 170
GCD(2, 85) = 170 / 170
GCD(2, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
GCD of 424, 990, 85, 734 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 990, 85, 734?
GCD of 424, 990, 85, 734 is 1
2. Where do I get the detailed procedure to find GCD of 424, 990, 85, 734?
You can find a detailed procedure to find GCD of 424, 990, 85, 734 on our page.
3. How to find GCD of 424, 990, 85, 734 on a calculator?
You can find the GCD of 424, 990, 85, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.