GCD of 856, 482, 738, 292 Calculator

Given Input numbers are 856, 482, 738, 292

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 856, 482, 738, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 482, 738, 292 is 2.

Therefore, GCD of numbers 856, 482, 738, 292 is 2

Given Input Data is 856, 482, 738, 292

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 482 is 2 x 241

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 292 is 2 x 2 x 73

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(856, 482) = 206296

GCD(856, 482) = ( 856 x 482 ) / 206296

GCD(856, 482) = 412592 / 206296

GCD(856, 482) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 292

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

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

GCD(2, 292) = 584 / 292

GCD(2, 292) = 2

GCD of 856, 482, 738, 292 is 2

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1. What is the GCD of 856, 482, 738, 292?

GCD of 856, 482, 738, 292 is 2

2. Where do I get the detailed procedure to find GCD of 856, 482, 738, 292?

You can find a detailed procedure to find GCD of 856, 482, 738, 292 on our page.

3. How to find GCD of 856, 482, 738, 292 on a calculator?

You can find the GCD of 856, 482, 738, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.