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 146, 248, 270, 112 i.e. 2 largest integer that divides all the numbers equally.
GCD of 146, 248, 270, 112 is 2
GCD(146, 248, 270, 112) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 146, 248, 270, 112 is 2
GCD(146, 248, 270, 112) = 2
Given Input numbers are 146, 248, 270, 112
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
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 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greatest Common Divisior
We found the divisors of 146, 248, 270, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 248, 270, 112 is 2.
Therefore, GCD of numbers 146, 248, 270, 112 is 2
Given Input Data is 146, 248, 270, 112
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 146 is 2 x 73
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
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(146, 248) = 18104
GCD(146, 248) = ( 146 x 248 ) / 18104
GCD(146, 248) = 36208 / 18104
GCD(146, 248) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
GCD(2, 270) = 540 / 270
GCD(2, 270) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
GCD(2, 112) = 224 / 112
GCD(2, 112) = 2
GCD of 146, 248, 270, 112 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 146, 248, 270, 112?
GCD of 146, 248, 270, 112 is 2
2. Where do I get the detailed procedure to find GCD of 146, 248, 270, 112?
You can find a detailed procedure to find GCD of 146, 248, 270, 112 on our page.
3. How to find GCD of 146, 248, 270, 112 on a calculator?
You can find the GCD of 146, 248, 270, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.