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 464, 248, 74, 284 i.e. 2 largest integer that divides all the numbers equally.
GCD of 464, 248, 74, 284 is 2
GCD(464, 248, 74, 284) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 464, 248, 74, 284 is 2
GCD(464, 248, 74, 284) = 2
Given Input numbers are 464, 248, 74, 284
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
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 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Greatest Common Divisior
We found the divisors of 464, 248, 74, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 248, 74, 284 is 2.
Therefore, GCD of numbers 464, 248, 74, 284 is 2
Given Input Data is 464, 248, 74, 284
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 74 is 2 x 37
Prime Factorization of 284 is 2 x 2 x 71
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(464, 248) = 14384
GCD(464, 248) = ( 464 x 248 ) / 14384
GCD(464, 248) = 115072 / 14384
GCD(464, 248) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 74) = 296
GCD(8, 74) = ( 8 x 74 ) / 296
GCD(8, 74) = 592 / 296
GCD(8, 74) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
GCD(2, 284) = 568 / 284
GCD(2, 284) = 2
GCD of 464, 248, 74, 284 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 464, 248, 74, 284?
GCD of 464, 248, 74, 284 is 2
2. Where do I get the detailed procedure to find GCD of 464, 248, 74, 284?
You can find a detailed procedure to find GCD of 464, 248, 74, 284 on our page.
3. How to find GCD of 464, 248, 74, 284 on a calculator?
You can find the GCD of 464, 248, 74, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.