GCD of 730, 987, 821, 259 Calculator

Given Input numbers are 730, 987, 821, 259

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 730, 987, 821, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 987, 821, 259 is 1.

Therefore, GCD of numbers 730, 987, 821, 259 is 1

Given Input Data is 730, 987, 821, 259

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 821 is 821

Prime Factorization of 259 is 7 x 37

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(730, 987) = 720510

GCD(730, 987) = ( 730 x 987 ) / 720510

GCD(730, 987) = 720510 / 720510

GCD(730, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 730, 987, 821, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 462, 635, 266
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• GCD of 955, 273, 422, 958
• GCD of 594, 845, 996, 547
• GCD of 558, 433, 792, 415

1. What is the GCD of 730, 987, 821, 259?

GCD of 730, 987, 821, 259 is 1

2. Where do I get the detailed procedure to find GCD of 730, 987, 821, 259?

You can find a detailed procedure to find GCD of 730, 987, 821, 259 on our page.

3. How to find GCD of 730, 987, 821, 259 on a calculator?

You can find the GCD of 730, 987, 821, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.