GCD of 120, 498, 807, 253 Calculator

Given Input numbers are 120, 498, 807, 253

To find the GCD of numbers using factoring list out all the divisors of each number

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 120, 498, 807, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 498, 807, 253 is 1.

Therefore, GCD of numbers 120, 498, 807, 253 is 1

Given Input Data is 120, 498, 807, 253

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 807 is 3 x 269

Prime Factorization of 253 is 11 x 23

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(120, 498) = 9960

GCD(120, 498) = ( 120 x 498 ) / 9960

GCD(120, 498) = 59760 / 9960

GCD(120, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 807

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 807) = 1614

GCD(6, 807) = ( 6 x 807 ) / 1614

GCD(6, 807) = 4842 / 1614

GCD(6, 807) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 253

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 253) = 759

GCD(3, 253) = ( 3 x 253 ) / 759

GCD(3, 253) = 759 / 759

GCD(3, 253) = 1

GCD of 120, 498, 807, 253 is 1

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1. What is the GCD of 120, 498, 807, 253?

GCD of 120, 498, 807, 253 is 1

2. Where do I get the detailed procedure to find GCD of 120, 498, 807, 253?

You can find a detailed procedure to find GCD of 120, 498, 807, 253 on our page.

3. How to find GCD of 120, 498, 807, 253 on a calculator?

You can find the GCD of 120, 498, 807, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.