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 248, 924, 10, 580 i.e. 2 largest integer that divides all the numbers equally.
GCD of 248, 924, 10, 580 is 2
GCD(248, 924, 10, 580) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 924, 10, 580 is 2
GCD(248, 924, 10, 580) = 2
Given Input numbers are 248, 924, 10, 580
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
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 248, 924, 10, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 924, 10, 580 is 2.
Therefore, GCD of numbers 248, 924, 10, 580 is 2
Given Input Data is 248, 924, 10, 580
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 10 is 2 x 5
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(248, 924) = 57288
GCD(248, 924) = ( 248 x 924 ) / 57288
GCD(248, 924) = 229152 / 57288
GCD(248, 924) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 10) = 20
GCD(4, 10) = ( 4 x 10 ) / 20
GCD(4, 10) = 40 / 20
GCD(4, 10) = 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 248, 924, 10, 580 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 924, 10, 580?
GCD of 248, 924, 10, 580 is 2
2. Where do I get the detailed procedure to find GCD of 248, 924, 10, 580?
You can find a detailed procedure to find GCD of 248, 924, 10, 580 on our page.
3. How to find GCD of 248, 924, 10, 580 on a calculator?
You can find the GCD of 248, 924, 10, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.