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 85, 992, 509, 246 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 992, 509, 246 is 1
GCD(85, 992, 509, 246) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 992, 509, 246 is 1
GCD(85, 992, 509, 246) = 1
Given Input numbers are 85, 992, 509, 246
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Greatest Common Divisior
We found the divisors of 85, 992, 509, 246 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 992, 509, 246 is 1.
Therefore, GCD of numbers 85, 992, 509, 246 is 1
Given Input Data is 85, 992, 509, 246
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 509 is 509
Prime Factorization of 246 is 2 x 3 x 41
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(85, 992) = 84320
GCD(85, 992) = ( 85 x 992 ) / 84320
GCD(85, 992) = 84320 / 84320
GCD(85, 992) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 246
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 246) = 246
GCD(1, 246) = ( 1 x 246 ) / 246
GCD(1, 246) = 246 / 246
GCD(1, 246) = 1
GCD of 85, 992, 509, 246 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 992, 509, 246?
GCD of 85, 992, 509, 246 is 1
2. Where do I get the detailed procedure to find GCD of 85, 992, 509, 246?
You can find a detailed procedure to find GCD of 85, 992, 509, 246 on our page.
3. How to find GCD of 85, 992, 509, 246 on a calculator?
You can find the GCD of 85, 992, 509, 246 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.