GCD of 316, 184, 61, 574 Calculator

Given Input numbers are 316, 184, 61, 574

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 316, 184, 61, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 184, 61, 574 is 1.

Therefore, GCD of numbers 316, 184, 61, 574 is 1

Given Input Data is 316, 184, 61, 574

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 184 is 2 x 2 x 2 x 23

Prime Factorization of 61 is 61

Prime Factorization of 574 is 2 x 7 x 41

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, 184) = 14536

GCD(316, 184) = ( 316 x 184 ) / 14536

GCD(316, 184) = 58144 / 14536

GCD(316, 184) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 61

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

LCM(4, 61) = 244

GCD(4, 61) = ( 4 x 61 ) / 244

GCD(4, 61) = 244 / 244

GCD(4, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 316, 184, 61, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 793, 78, 537
• GCD of 687, 240, 14, 152
• GCD of 815, 430, 55, 713
• GCD of 248, 672, 37, 196
• GCD of 255, 569, 44, 549

1. What is the GCD of 316, 184, 61, 574?

GCD of 316, 184, 61, 574 is 1

2. Where do I get the detailed procedure to find GCD of 316, 184, 61, 574?

You can find a detailed procedure to find GCD of 316, 184, 61, 574 on our page.

3. How to find GCD of 316, 184, 61, 574 on a calculator?

You can find the GCD of 316, 184, 61, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.