GCD of 356, 226, 540, 982 Calculator

Given Input numbers are 356, 226, 540, 982

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 356, 226, 540, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 226, 540, 982 is 2.

Therefore, GCD of numbers 356, 226, 540, 982 is 2

Given Input Data is 356, 226, 540, 982

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 226 is 2 x 113

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 982 is 2 x 491

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(356, 226) = 40228

GCD(356, 226) = ( 356 x 226 ) / 40228

GCD(356, 226) = 80456 / 40228

GCD(356, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

GCD of 356, 226, 540, 982 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 713, 806, 481
• GCD of 515, 347, 363, 948
• GCD of 136, 250, 726, 890
• GCD of 346, 883, 876, 322
• GCD of 894, 422, 620, 825

1. What is the GCD of 356, 226, 540, 982?

GCD of 356, 226, 540, 982 is 2

2. Where do I get the detailed procedure to find GCD of 356, 226, 540, 982?

You can find a detailed procedure to find GCD of 356, 226, 540, 982 on our page.

3. How to find GCD of 356, 226, 540, 982 on a calculator?

You can find the GCD of 356, 226, 540, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.