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, 341, 468, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 54, 341, 468, 653 is 1
GCD(54, 341, 468, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 341, 468, 653 is 1
GCD(54, 341, 468, 653) = 1
Given Input numbers are 54, 341, 468, 653
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 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 54, 341, 468, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 341, 468, 653 is 1.
Therefore, GCD of numbers 54, 341, 468, 653 is 1
Given Input Data is 54, 341, 468, 653
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 341 is 11 x 31
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 653 is 653
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, 341) = 18414
GCD(54, 341) = ( 54 x 341 ) / 18414
GCD(54, 341) = 18414 / 18414
GCD(54, 341) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
GCD of 54, 341, 468, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 341, 468, 653?
GCD of 54, 341, 468, 653 is 1
2. Where do I get the detailed procedure to find GCD of 54, 341, 468, 653?
You can find a detailed procedure to find GCD of 54, 341, 468, 653 on our page.
3. How to find GCD of 54, 341, 468, 653 on a calculator?
You can find the GCD of 54, 341, 468, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.