GCD of 874, 103, 75, 984 Calculator

Given Input numbers are 874, 103, 75, 984

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

Divisors of 874

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

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 874, 103, 75, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 103, 75, 984 is 1.

Therefore, GCD of numbers 874, 103, 75, 984 is 1

Given Input Data is 874, 103, 75, 984

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 103 is 103

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(874, 103) = 90022

GCD(874, 103) = ( 874 x 103 ) / 90022

GCD(874, 103) = 90022 / 90022

GCD(874, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 874, 103, 75, 984 is 1

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1. What is the GCD of 874, 103, 75, 984?

GCD of 874, 103, 75, 984 is 1

2. Where do I get the detailed procedure to find GCD of 874, 103, 75, 984?

You can find a detailed procedure to find GCD of 874, 103, 75, 984 on our page.

3. How to find GCD of 874, 103, 75, 984 on a calculator?

You can find the GCD of 874, 103, 75, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.