GCD of 490, 548, 600, 756 Calculator

Given Input numbers are 490, 548, 600, 756

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 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 490, 548, 600, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 548, 600, 756 is 2.

Therefore, GCD of numbers 490, 548, 600, 756 is 2

Given Input Data is 490, 548, 600, 756

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 548 is 2 x 2 x 137

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 756 is 2 x 2 x 3 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, 548) = 134260

GCD(490, 548) = ( 490 x 548 ) / 134260

GCD(490, 548) = 268520 / 134260

GCD(490, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 490, 548, 600, 756 is 2

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• GCD of 523, 401, 305, 558

1. What is the GCD of 490, 548, 600, 756?

GCD of 490, 548, 600, 756 is 2

2. Where do I get the detailed procedure to find GCD of 490, 548, 600, 756?

You can find a detailed procedure to find GCD of 490, 548, 600, 756 on our page.

3. How to find GCD of 490, 548, 600, 756 on a calculator?

You can find the GCD of 490, 548, 600, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.