GCD of 230, 260, 98, 528 Calculator

Given Input numbers are 230, 260, 98, 528

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 230, 260, 98, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 260, 98, 528 is 2.

Therefore, GCD of numbers 230, 260, 98, 528 is 2

Given Input Data is 230, 260, 98, 528

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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(230, 260) = 5980

GCD(230, 260) = ( 230 x 260 ) / 5980

GCD(230, 260) = 59800 / 5980

GCD(230, 260) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 98

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

LCM(10, 98) = 490

GCD(10, 98) = ( 10 x 98 ) / 490

GCD(10, 98) = 980 / 490

GCD(10, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

GCD of 230, 260, 98, 528 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 173, 62, 593
• GCD of 533, 886, 99, 726
• GCD of 817, 834, 96, 122
• GCD of 507, 714, 46, 732
• GCD of 444, 200, 67, 451

1. What is the GCD of 230, 260, 98, 528?

GCD of 230, 260, 98, 528 is 2

2. Where do I get the detailed procedure to find GCD of 230, 260, 98, 528?

You can find a detailed procedure to find GCD of 230, 260, 98, 528 on our page.

3. How to find GCD of 230, 260, 98, 528 on a calculator?

You can find the GCD of 230, 260, 98, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.