GCD of 828, 140, 52, 598 Calculator

Given Input numbers are 828, 140, 52, 598

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 828, 140, 52, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 140, 52, 598 is 2.

Therefore, GCD of numbers 828, 140, 52, 598 is 2

Given Input Data is 828, 140, 52, 598

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 598 is 2 x 13 x 23

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(828, 140) = 28980

GCD(828, 140) = ( 828 x 140 ) / 28980

GCD(828, 140) = 115920 / 28980

GCD(828, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 598

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

LCM(4, 598) = 1196

GCD(4, 598) = ( 4 x 598 ) / 1196

GCD(4, 598) = 2392 / 1196

GCD(4, 598) = 2

GCD of 828, 140, 52, 598 is 2

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1. What is the GCD of 828, 140, 52, 598?

GCD of 828, 140, 52, 598 is 2

2. Where do I get the detailed procedure to find GCD of 828, 140, 52, 598?

You can find a detailed procedure to find GCD of 828, 140, 52, 598 on our page.

3. How to find GCD of 828, 140, 52, 598 on a calculator?

You can find the GCD of 828, 140, 52, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.