GCD of 556, 494, 46, 710 Calculator

Given Input numbers are 556, 494, 46, 710

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 556, 494, 46, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 494, 46, 710 is 2.

Therefore, GCD of numbers 556, 494, 46, 710 is 2

Given Input Data is 556, 494, 46, 710

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 46 is 2 x 23

Prime Factorization of 710 is 2 x 5 x 71

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(556, 494) = 137332

GCD(556, 494) = ( 556 x 494 ) / 137332

GCD(556, 494) = 274664 / 137332

GCD(556, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 710

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

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

GCD(2, 710) = 1420 / 710

GCD(2, 710) = 2

GCD of 556, 494, 46, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 640, 25, 814
• GCD of 742, 140, 22, 959
• GCD of 284, 177, 46, 645
• GCD of 655, 556, 40, 635
• GCD of 592, 388, 39, 170

1. What is the GCD of 556, 494, 46, 710?

GCD of 556, 494, 46, 710 is 2

2. Where do I get the detailed procedure to find GCD of 556, 494, 46, 710?

You can find a detailed procedure to find GCD of 556, 494, 46, 710 on our page.

3. How to find GCD of 556, 494, 46, 710 on a calculator?

You can find the GCD of 556, 494, 46, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.