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 267, 448, 117, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 267, 448, 117, 502 is 1
GCD(267, 448, 117, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 267, 448, 117, 502 is 1
GCD(267, 448, 117, 502) = 1
Given Input numbers are 267, 448, 117, 502
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
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 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 267, 448, 117, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 448, 117, 502 is 1.
Therefore, GCD of numbers 267, 448, 117, 502 is 1
Given Input Data is 267, 448, 117, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 267 is 3 x 89
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 502 is 2 x 251
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(267, 448) = 119616
GCD(267, 448) = ( 267 x 448 ) / 119616
GCD(267, 448) = 119616 / 119616
GCD(267, 448) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
GCD of 267, 448, 117, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 267, 448, 117, 502?
GCD of 267, 448, 117, 502 is 1
2. Where do I get the detailed procedure to find GCD of 267, 448, 117, 502?
You can find a detailed procedure to find GCD of 267, 448, 117, 502 on our page.
3. How to find GCD of 267, 448, 117, 502 on a calculator?
You can find the GCD of 267, 448, 117, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.