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 992, 842, 72, 580 i.e. 2 largest integer that divides all the numbers equally.
GCD of 992, 842, 72, 580 is 2
GCD(992, 842, 72, 580) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 842, 72, 580 is 2
GCD(992, 842, 72, 580) = 2
Given Input numbers are 992, 842, 72, 580
To find the GCD of numbers using factoring list out all the divisors of each number
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 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Greatest Common Divisior
We found the divisors of 992, 842, 72, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 842, 72, 580 is 2.
Therefore, GCD of numbers 992, 842, 72, 580 is 2
Given Input Data is 992, 842, 72, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 842 is 2 x 421
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 580 is 2 x 2 x 5 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(992, 842) = 417632
GCD(992, 842) = ( 992 x 842 ) / 417632
GCD(992, 842) = 835264 / 417632
GCD(992, 842) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 580
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 580) = 580
GCD(2, 580) = ( 2 x 580 ) / 580
GCD(2, 580) = 1160 / 580
GCD(2, 580) = 2
GCD of 992, 842, 72, 580 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 992, 842, 72, 580?
GCD of 992, 842, 72, 580 is 2
2. Where do I get the detailed procedure to find GCD of 992, 842, 72, 580?
You can find a detailed procedure to find GCD of 992, 842, 72, 580 on our page.
3. How to find GCD of 992, 842, 72, 580 on a calculator?
You can find the GCD of 992, 842, 72, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.