GCD of 316, 850, 587, 364 Calculator

Given Input numbers are 316, 850, 587, 364

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 316, 850, 587, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 850, 587, 364 is 1.

Therefore, GCD of numbers 316, 850, 587, 364 is 1

Given Input Data is 316, 850, 587, 364

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 850 is 2 x 5 x 5 x 17

Prime Factorization of 587 is 587

Prime Factorization of 364 is 2 x 2 x 7 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(316, 850) = 134300

GCD(316, 850) = ( 316 x 850 ) / 134300

GCD(316, 850) = 268600 / 134300

GCD(316, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 587

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

LCM(2, 587) = 1174

GCD(2, 587) = ( 2 x 587 ) / 1174

GCD(2, 587) = 1174 / 1174

GCD(2, 587) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 316, 850, 587, 364 is 1

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1. What is the GCD of 316, 850, 587, 364?

GCD of 316, 850, 587, 364 is 1

2. Where do I get the detailed procedure to find GCD of 316, 850, 587, 364?

You can find a detailed procedure to find GCD of 316, 850, 587, 364 on our page.

3. How to find GCD of 316, 850, 587, 364 on a calculator?

You can find the GCD of 316, 850, 587, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.