GCD of 490, 496, 250, 758 Calculator

Given Input numbers are 490, 496, 250, 758

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 490, 496, 250, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 496, 250, 758 is 2.

Therefore, GCD of numbers 490, 496, 250, 758 is 2

Given Input Data is 490, 496, 250, 758

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 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 758 is 2 x 379

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, 496) = 121520

GCD(490, 496) = ( 490 x 496 ) / 121520

GCD(490, 496) = 243040 / 121520

GCD(490, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 490, 496, 250, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 462, 698, 503
• GCD of 659, 572, 762, 924
• GCD of 636, 929, 379, 539
• GCD of 877, 585, 954, 744
• GCD of 241, 258, 289, 930

1. What is the GCD of 490, 496, 250, 758?

GCD of 490, 496, 250, 758 is 2

2. Where do I get the detailed procedure to find GCD of 490, 496, 250, 758?

You can find a detailed procedure to find GCD of 490, 496, 250, 758 on our page.

3. How to find GCD of 490, 496, 250, 758 on a calculator?

You can find the GCD of 490, 496, 250, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.