GCD of 316, 480, 58, 869 Calculator

Given Input numbers are 316, 480, 58, 869

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 316, 480, 58, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 480, 58, 869 is 1.

Therefore, GCD of numbers 316, 480, 58, 869 is 1

Given Input Data is 316, 480, 58, 869

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 58 is 2 x 29

Prime Factorization of 869 is 11 x 79

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, 480) = 37920

GCD(316, 480) = ( 316 x 480 ) / 37920

GCD(316, 480) = 151680 / 37920

GCD(316, 480) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 316, 480, 58, 869 is 1

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• GCD of 834, 937, 12, 603
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1. What is the GCD of 316, 480, 58, 869?

GCD of 316, 480, 58, 869 is 1

2. Where do I get the detailed procedure to find GCD of 316, 480, 58, 869?

You can find a detailed procedure to find GCD of 316, 480, 58, 869 on our page.

3. How to find GCD of 316, 480, 58, 869 on a calculator?

You can find the GCD of 316, 480, 58, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.