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 470, 930, 48, 198 i.e. 2 largest integer that divides all the numbers equally.
GCD of 470, 930, 48, 198 is 2
GCD(470, 930, 48, 198) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 470, 930, 48, 198 is 2
GCD(470, 930, 48, 198) = 2
Given Input numbers are 470, 930, 48, 198
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 930
List of positive integer divisors of 930 that divides 930 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Greatest Common Divisior
We found the divisors of 470, 930, 48, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 930, 48, 198 is 2.
Therefore, GCD of numbers 470, 930, 48, 198 is 2
Given Input Data is 470, 930, 48, 198
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 930 is 2 x 3 x 5 x 31
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 198 is 2 x 3 x 3 x 11
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(470, 930) = 43710
GCD(470, 930) = ( 470 x 930 ) / 43710
GCD(470, 930) = 437100 / 43710
GCD(470, 930) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 48) = 240
GCD(10, 48) = ( 10 x 48 ) / 240
GCD(10, 48) = 480 / 240
GCD(10, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 198) = 198
GCD(2, 198) = ( 2 x 198 ) / 198
GCD(2, 198) = 396 / 198
GCD(2, 198) = 2
GCD of 470, 930, 48, 198 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 470, 930, 48, 198?
GCD of 470, 930, 48, 198 is 2
2. Where do I get the detailed procedure to find GCD of 470, 930, 48, 198?
You can find a detailed procedure to find GCD of 470, 930, 48, 198 on our page.
3. How to find GCD of 470, 930, 48, 198 on a calculator?
You can find the GCD of 470, 930, 48, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.