GCD of 253, 375, 539, 120 Calculator

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

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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.