GCD of 74, 864, 203, 130 Calculator

Given Input numbers are 74, 864, 203, 130

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 74, 864, 203, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 864, 203, 130 is 1.

Therefore, GCD of numbers 74, 864, 203, 130 is 1

Given Input Data is 74, 864, 203, 130

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 203 is 7 x 29

Prime Factorization of 130 is 2 x 5 x 13

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(74, 864) = 31968

GCD(74, 864) = ( 74 x 864 ) / 31968

GCD(74, 864) = 63936 / 31968

GCD(74, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 203

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

LCM(2, 203) = 406

GCD(2, 203) = ( 2 x 203 ) / 406

GCD(2, 203) = 406 / 406

GCD(2, 203) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

GCD of 74, 864, 203, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 311, 703, 174
• GCD of 71, 447, 884, 407
• GCD of 31, 999, 593, 279
• GCD of 45, 954, 249, 810
• GCD of 63, 896, 809, 952

1. What is the GCD of 74, 864, 203, 130?

GCD of 74, 864, 203, 130 is 1

2. Where do I get the detailed procedure to find GCD of 74, 864, 203, 130?

You can find a detailed procedure to find GCD of 74, 864, 203, 130 on our page.

3. How to find GCD of 74, 864, 203, 130 on a calculator?

You can find the GCD of 74, 864, 203, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.