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 54, 268, 407, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 54, 268, 407, 369 is 1
GCD(54, 268, 407, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 268, 407, 369 is 1
GCD(54, 268, 407, 369) = 1
Given Input numbers are 54, 268, 407, 369
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 268
List of positive integer divisors of 268 that divides 268 without a remainder.
1, 2, 4, 67, 134, 268
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 54, 268, 407, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 268, 407, 369 is 1.
Therefore, GCD of numbers 54, 268, 407, 369 is 1
Given Input Data is 54, 268, 407, 369
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 268 is 2 x 2 x 67
Prime Factorization of 407 is 11 x 37
Prime Factorization of 369 is 3 x 3 x 41
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(54, 268) = 7236
GCD(54, 268) = ( 54 x 268 ) / 7236
GCD(54, 268) = 14472 / 7236
GCD(54, 268) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 407) = 814
GCD(2, 407) = ( 2 x 407 ) / 814
GCD(2, 407) = 814 / 814
GCD(2, 407) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
GCD of 54, 268, 407, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 268, 407, 369?
GCD of 54, 268, 407, 369 is 1
2. Where do I get the detailed procedure to find GCD of 54, 268, 407, 369?
You can find a detailed procedure to find GCD of 54, 268, 407, 369 on our page.
3. How to find GCD of 54, 268, 407, 369 on a calculator?
You can find the GCD of 54, 268, 407, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.