GCD of 516, 346, 953, 182 Calculator

Given Input numbers are 516, 346, 953, 182

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Greatest Common Divisior

We found the divisors of 516, 346, 953, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 346, 953, 182 is 1.

Therefore, GCD of numbers 516, 346, 953, 182 is 1

Given Input Data is 516, 346, 953, 182

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 346 is 2 x 173

Prime Factorization of 953 is 953

Prime Factorization of 182 is 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(516, 346) = 89268

GCD(516, 346) = ( 516 x 346 ) / 89268

GCD(516, 346) = 178536 / 89268

GCD(516, 346) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 953

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

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

GCD(2, 953) = 1906 / 1906

GCD(2, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

GCD of 516, 346, 953, 182 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 723, 908, 231
• GCD of 112, 356, 720, 633
• GCD of 120, 566, 834, 747
• GCD of 225, 613, 542, 379
• GCD of 147, 105, 156, 317

1. What is the GCD of 516, 346, 953, 182?

GCD of 516, 346, 953, 182 is 1

2. Where do I get the detailed procedure to find GCD of 516, 346, 953, 182?

You can find a detailed procedure to find GCD of 516, 346, 953, 182 on our page.

3. How to find GCD of 516, 346, 953, 182 on a calculator?

You can find the GCD of 516, 346, 953, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.