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 448, 139, 284, 293 i.e. 1 largest integer that divides all the numbers equally.
GCD of 448, 139, 284, 293 is 1
GCD(448, 139, 284, 293) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 448, 139, 284, 293 is 1
GCD(448, 139, 284, 293) = 1
Given Input numbers are 448, 139, 284, 293
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Greatest Common Divisior
We found the divisors of 448, 139, 284, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 139, 284, 293 is 1.
Therefore, GCD of numbers 448, 139, 284, 293 is 1
Given Input Data is 448, 139, 284, 293
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 139 is 139
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 293 is 293
The above numbers do not have any common prime factor. So GCD is 1
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(448, 139) = 62272
GCD(448, 139) = ( 448 x 139 ) / 62272
GCD(448, 139) = 62272 / 62272
GCD(448, 139) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 293) = 293
GCD(1, 293) = ( 1 x 293 ) / 293
GCD(1, 293) = 293 / 293
GCD(1, 293) = 1
GCD of 448, 139, 284, 293 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 448, 139, 284, 293?
GCD of 448, 139, 284, 293 is 1
2. Where do I get the detailed procedure to find GCD of 448, 139, 284, 293?
You can find a detailed procedure to find GCD of 448, 139, 284, 293 on our page.
3. How to find GCD of 448, 139, 284, 293 on a calculator?
You can find the GCD of 448, 139, 284, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.