GCD of 492, 310, 43, 550 Calculator

Given Input numbers are 492, 310, 43, 550

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Greatest Common Divisior

We found the divisors of 492, 310, 43, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 310, 43, 550 is 1.

Therefore, GCD of numbers 492, 310, 43, 550 is 1

Given Input Data is 492, 310, 43, 550

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 43 is 43

Prime Factorization of 550 is 2 x 5 x 5 x 11

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(492, 310) = 76260

GCD(492, 310) = ( 492 x 310 ) / 76260

GCD(492, 310) = 152520 / 76260

GCD(492, 310) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 43

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

LCM(2, 43) = 86

GCD(2, 43) = ( 2 x 43 ) / 86

GCD(2, 43) = 86 / 86

GCD(2, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

GCD of 492, 310, 43, 550 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 510, 98, 118
• GCD of 680, 917, 72, 660
• GCD of 246, 515, 88, 673
• GCD of 523, 230, 44, 246
• GCD of 289, 759, 32, 918

1. What is the GCD of 492, 310, 43, 550?

GCD of 492, 310, 43, 550 is 1

2. Where do I get the detailed procedure to find GCD of 492, 310, 43, 550?

You can find a detailed procedure to find GCD of 492, 310, 43, 550 on our page.

3. How to find GCD of 492, 310, 43, 550 on a calculator?

You can find the GCD of 492, 310, 43, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.