GCD of 80, 638, 258, 975 Calculator

Given Input numbers are 80, 638, 258, 975

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 80, 638, 258, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 638, 258, 975 is 1.

Therefore, GCD of numbers 80, 638, 258, 975 is 1

Given Input Data is 80, 638, 258, 975

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 975 is 3 x 5 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(80, 638) = 25520

GCD(80, 638) = ( 80 x 638 ) / 25520

GCD(80, 638) = 51040 / 25520

GCD(80, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 975

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

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

GCD(2, 975) = 1950 / 1950

GCD(2, 975) = 1

GCD of 80, 638, 258, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 183, 901, 450
• GCD of 33, 728, 800, 683
• GCD of 30, 246, 787, 184
• GCD of 67, 149, 369, 158
• GCD of 97, 933, 193, 142

1. What is the GCD of 80, 638, 258, 975?

GCD of 80, 638, 258, 975 is 1

2. Where do I get the detailed procedure to find GCD of 80, 638, 258, 975?

You can find a detailed procedure to find GCD of 80, 638, 258, 975 on our page.

3. How to find GCD of 80, 638, 258, 975 on a calculator?

You can find the GCD of 80, 638, 258, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.