GCD of 260, 798, 850, 524 Calculator

Given Input numbers are 260, 798, 850, 524

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

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 260, 798, 850, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 798, 850, 524 is 2.

Therefore, GCD of numbers 260, 798, 850, 524 is 2

Given Input Data is 260, 798, 850, 524

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

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 524 is 2 x 2 x 131

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(260, 798) = 103740

GCD(260, 798) = ( 260 x 798 ) / 103740

GCD(260, 798) = 207480 / 103740

GCD(260, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 850

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

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

GCD(2, 850) = 1700 / 850

GCD(2, 850) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 524

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

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

GCD(2, 524) = 1048 / 524

GCD(2, 524) = 2

GCD of 260, 798, 850, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 128, 486, 373, 660
• GCD of 264, 658, 998, 779
• GCD of 539, 600, 657, 208
• GCD of 646, 374, 553, 692
• GCD of 129, 863, 932, 469

1. What is the GCD of 260, 798, 850, 524?

GCD of 260, 798, 850, 524 is 2

2. Where do I get the detailed procedure to find GCD of 260, 798, 850, 524?

You can find a detailed procedure to find GCD of 260, 798, 850, 524 on our page.

3. How to find GCD of 260, 798, 850, 524 on a calculator?

You can find the GCD of 260, 798, 850, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.