GCD of 316, 508, 75, 446 Calculator

Given Input numbers are 316, 508, 75, 446

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 316, 508, 75, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 508, 75, 446 is 1.

Therefore, GCD of numbers 316, 508, 75, 446 is 1

Given Input Data is 316, 508, 75, 446

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 446 is 2 x 223

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(316, 508) = 40132

GCD(316, 508) = ( 316 x 508 ) / 40132

GCD(316, 508) = 160528 / 40132

GCD(316, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 316, 508, 75, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 213, 90, 947
• GCD of 950, 177, 42, 379
• GCD of 128, 634, 90, 759
• GCD of 623, 764, 81, 619
• GCD of 192, 640, 38, 458

1. What is the GCD of 316, 508, 75, 446?

GCD of 316, 508, 75, 446 is 1

2. Where do I get the detailed procedure to find GCD of 316, 508, 75, 446?

You can find a detailed procedure to find GCD of 316, 508, 75, 446 on our page.

3. How to find GCD of 316, 508, 75, 446 on a calculator?

You can find the GCD of 316, 508, 75, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.