GCD of 120, 431, 848, 633 Calculator

Given Input numbers are 120, 431, 848, 633

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 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 120, 431, 848, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 431, 848, 633 is 1.

Therefore, GCD of numbers 120, 431, 848, 633 is 1

Given Input Data is 120, 431, 848, 633

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 431 is 431

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 633 is 3 x 211

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, 431) = 51720

GCD(120, 431) = ( 120 x 431 ) / 51720

GCD(120, 431) = 51720 / 51720

GCD(120, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

GCD of 120, 431, 848, 633 is 1

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1. What is the GCD of 120, 431, 848, 633?

GCD of 120, 431, 848, 633 is 1

2. Where do I get the detailed procedure to find GCD of 120, 431, 848, 633?

You can find a detailed procedure to find GCD of 120, 431, 848, 633 on our page.

3. How to find GCD of 120, 431, 848, 633 on a calculator?

You can find the GCD of 120, 431, 848, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.