GCD of 285, 670, 75, 129 Calculator

Given Input numbers are 285, 670, 75, 129

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 285, 670, 75, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 670, 75, 129 is 1.

Therefore, GCD of numbers 285, 670, 75, 129 is 1

Given Input Data is 285, 670, 75, 129

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 129 is 3 x 43

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(285, 670) = 38190

GCD(285, 670) = ( 285 x 670 ) / 38190

GCD(285, 670) = 190950 / 38190

GCD(285, 670) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 75

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

LCM(5, 75) = 75

GCD(5, 75) = ( 5 x 75 ) / 75

GCD(5, 75) = 375 / 75

GCD(5, 75) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 129

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

LCM(5, 129) = 645

GCD(5, 129) = ( 5 x 129 ) / 645

GCD(5, 129) = 645 / 645

GCD(5, 129) = 1

GCD of 285, 670, 75, 129 is 1

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1. What is the GCD of 285, 670, 75, 129?

GCD of 285, 670, 75, 129 is 1

2. Where do I get the detailed procedure to find GCD of 285, 670, 75, 129?

You can find a detailed procedure to find GCD of 285, 670, 75, 129 on our page.

3. How to find GCD of 285, 670, 75, 129 on a calculator?

You can find the GCD of 285, 670, 75, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.