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 253, 375, 539, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 375, 539, 120 is 1
GCD(253, 375, 539, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 375, 539, 120 is 1
GCD(253, 375, 539, 120) = 1
Given Input numbers are 253, 375, 539, 120
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 253, 375, 539, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 375, 539, 120 is 1.
Therefore, GCD of numbers 253, 375, 539, 120 is 1
Given Input Data is 253, 375, 539, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 120 is 2 x 2 x 2 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(253, 375) = 94875
GCD(253, 375) = ( 253 x 375 ) / 94875
GCD(253, 375) = 94875 / 94875
GCD(253, 375) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 539
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 539) = 539
GCD(1, 539) = ( 1 x 539 ) / 539
GCD(1, 539) = 539 / 539
GCD(1, 539) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 253, 375, 539, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 253, 375, 539, 120?
GCD of 253, 375, 539, 120 is 1
2. Where do I get the detailed procedure to find GCD of 253, 375, 539, 120?
You can find a detailed procedure to find GCD of 253, 375, 539, 120 on our page.
3. How to find GCD of 253, 375, 539, 120 on a calculator?
You can find the GCD of 253, 375, 539, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.