GCD of 490, 569, 750, 982 Calculator

Given Input numbers are 490, 569, 750, 982

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 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 490, 569, 750, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 569, 750, 982 is 1.

Therefore, GCD of numbers 490, 569, 750, 982 is 1

Given Input Data is 490, 569, 750, 982

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 569 is 569

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 982 is 2 x 491

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(490, 569) = 278810

GCD(490, 569) = ( 490 x 569 ) / 278810

GCD(490, 569) = 278810 / 278810

GCD(490, 569) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 490, 569, 750, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 749, 543, 496
• GCD of 766, 942, 284, 352
• GCD of 280, 702, 452, 226
• GCD of 155, 783, 754, 571
• GCD of 445, 571, 621, 289

1. What is the GCD of 490, 569, 750, 982?

GCD of 490, 569, 750, 982 is 1

2. Where do I get the detailed procedure to find GCD of 490, 569, 750, 982?

You can find a detailed procedure to find GCD of 490, 569, 750, 982 on our page.

3. How to find GCD of 490, 569, 750, 982 on a calculator?

You can find the GCD of 490, 569, 750, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.