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 53, 601, 368, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 601, 368, 270 is 1
GCD(53, 601, 368, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 601, 368, 270 is 1
GCD(53, 601, 368, 270) = 1
Given Input numbers are 53, 601, 368, 270
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
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
Greatest Common Divisior
We found the divisors of 53, 601, 368, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 601, 368, 270 is 1.
Therefore, GCD of numbers 53, 601, 368, 270 is 1
Given Input Data is 53, 601, 368, 270
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 601 is 601
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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(53, 601) = 31853
GCD(53, 601) = ( 53 x 601 ) / 31853
GCD(53, 601) = 31853 / 31853
GCD(53, 601) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 368
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 368) = 368
GCD(1, 368) = ( 1 x 368 ) / 368
GCD(1, 368) = 368 / 368
GCD(1, 368) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 53, 601, 368, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 601, 368, 270?
GCD of 53, 601, 368, 270 is 1
2. Where do I get the detailed procedure to find GCD of 53, 601, 368, 270?
You can find a detailed procedure to find GCD of 53, 601, 368, 270 on our page.
3. How to find GCD of 53, 601, 368, 270 on a calculator?
You can find the GCD of 53, 601, 368, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.