GCD of 490, 544, 50, 504 Calculator

Given Input numbers are 490, 544, 50, 504

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 490, 544, 50, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 544, 50, 504 is 2.

Therefore, GCD of numbers 490, 544, 50, 504 is 2

Given Input Data is 490, 544, 50, 504

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(490, 544) = 133280

GCD(490, 544) = ( 490 x 544 ) / 133280

GCD(490, 544) = 266560 / 133280

GCD(490, 544) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 490, 544, 50, 504 is 2

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• GCD of 150, 554, 21, 744
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• GCD of 340, 813, 93, 855

1. What is the GCD of 490, 544, 50, 504?

GCD of 490, 544, 50, 504 is 2

2. Where do I get the detailed procedure to find GCD of 490, 544, 50, 504?

You can find a detailed procedure to find GCD of 490, 544, 50, 504 on our page.

3. How to find GCD of 490, 544, 50, 504 on a calculator?

You can find the GCD of 490, 544, 50, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.