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 948, 510, 486, 608 i.e. 2 largest integer that divides all the numbers equally.
GCD of 948, 510, 486, 608 is 2
GCD(948, 510, 486, 608) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 510, 486, 608 is 2
GCD(948, 510, 486, 608) = 2
Given Input numbers are 948, 510, 486, 608
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 948, 510, 486, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 510, 486, 608 is 2.
Therefore, GCD of numbers 948, 510, 486, 608 is 2
Given Input Data is 948, 510, 486, 608
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
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(948, 510) = 80580
GCD(948, 510) = ( 948 x 510 ) / 80580
GCD(948, 510) = 483480 / 80580
GCD(948, 510) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 486) = 486
GCD(6, 486) = ( 6 x 486 ) / 486
GCD(6, 486) = 2916 / 486
GCD(6, 486) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 608) = 1824
GCD(6, 608) = ( 6 x 608 ) / 1824
GCD(6, 608) = 3648 / 1824
GCD(6, 608) = 2
GCD of 948, 510, 486, 608 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 510, 486, 608?
GCD of 948, 510, 486, 608 is 2
2. Where do I get the detailed procedure to find GCD of 948, 510, 486, 608?
You can find a detailed procedure to find GCD of 948, 510, 486, 608 on our page.
3. How to find GCD of 948, 510, 486, 608 on a calculator?
You can find the GCD of 948, 510, 486, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.