GCD of 312, 262, 498, 182 Calculator

Given Input numbers are 312, 262, 498, 182

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

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 312, 262, 498, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 262, 498, 182 is 2.

Therefore, GCD of numbers 312, 262, 498, 182 is 2

Given Input Data is 312, 262, 498, 182

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 262 is 2 x 131

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 182 is 2 x 7 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(312, 262) = 40872

GCD(312, 262) = ( 312 x 262 ) / 40872

GCD(312, 262) = 81744 / 40872

GCD(312, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 182

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

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

GCD(2, 182) = 364 / 182

GCD(2, 182) = 2

GCD of 312, 262, 498, 182 is 2

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• GCD of 933, 410, 183, 715
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1. What is the GCD of 312, 262, 498, 182?

GCD of 312, 262, 498, 182 is 2

2. Where do I get the detailed procedure to find GCD of 312, 262, 498, 182?

You can find a detailed procedure to find GCD of 312, 262, 498, 182 on our page.

3. How to find GCD of 312, 262, 498, 182 on a calculator?

You can find the GCD of 312, 262, 498, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.