GCD of 371, 120, 99, 874 Calculator

Given Input numbers are 371, 120, 99, 874

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 371, 120, 99, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 120, 99, 874 is 1.

Therefore, GCD of numbers 371, 120, 99, 874 is 1

Given Input Data is 371, 120, 99, 874

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

Prime Factorization of 371 is 7 x 53

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 874 is 2 x 19 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(371, 120) = 44520

GCD(371, 120) = ( 371 x 120 ) / 44520

GCD(371, 120) = 44520 / 44520

GCD(371, 120) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 371, 120, 99, 874 is 1

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1. What is the GCD of 371, 120, 99, 874?

GCD of 371, 120, 99, 874 is 1

2. Where do I get the detailed procedure to find GCD of 371, 120, 99, 874?

You can find a detailed procedure to find GCD of 371, 120, 99, 874 on our page.

3. How to find GCD of 371, 120, 99, 874 on a calculator?

You can find the GCD of 371, 120, 99, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.