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 478, 548, 248, 410 i.e. 2 largest integer that divides all the numbers equally.
GCD of 478, 548, 248, 410 is 2
GCD(478, 548, 248, 410) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 548, 248, 410 is 2
GCD(478, 548, 248, 410) = 2
Given Input numbers are 478, 548, 248, 410
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
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 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Greatest Common Divisior
We found the divisors of 478, 548, 248, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 548, 248, 410 is 2.
Therefore, GCD of numbers 478, 548, 248, 410 is 2
Given Input Data is 478, 548, 248, 410
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 410 is 2 x 5 x 41
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(478, 548) = 130972
GCD(478, 548) = ( 478 x 548 ) / 130972
GCD(478, 548) = 261944 / 130972
GCD(478, 548) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 248) = 248
GCD(2, 248) = ( 2 x 248 ) / 248
GCD(2, 248) = 496 / 248
GCD(2, 248) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 410) = 410
GCD(2, 410) = ( 2 x 410 ) / 410
GCD(2, 410) = 820 / 410
GCD(2, 410) = 2
GCD of 478, 548, 248, 410 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 548, 248, 410?
GCD of 478, 548, 248, 410 is 2
2. Where do I get the detailed procedure to find GCD of 478, 548, 248, 410?
You can find a detailed procedure to find GCD of 478, 548, 248, 410 on our page.
3. How to find GCD of 478, 548, 248, 410 on a calculator?
You can find the GCD of 478, 548, 248, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.