GCD of 548, 824, 852 Calculator

Given Input numbers are 548, 824, 852

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 548, 824, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 824, 852 is 4.

Therefore, GCD of numbers 548, 824, 852 is 4

Given Input Data is 548, 824, 852

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 852 is 2 x 2 x 3 x 71

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(548, 824) = 112888

GCD(548, 824) = ( 548 x 824 ) / 112888

GCD(548, 824) = 451552 / 112888

GCD(548, 824) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 852

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

LCM(4, 852) = 852

GCD(4, 852) = ( 4 x 852 ) / 852

GCD(4, 852) = 3408 / 852

GCD(4, 852) = 4

GCD of 548, 824, 852 is 4

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1. What is the GCD of 548, 824, 852?

GCD of 548, 824, 852 is 4

2. Where do I get the detailed procedure to find GCD of 548, 824, 852?

You can find a detailed procedure to find GCD of 548, 824, 852 on our page.

3. How to find GCD of 548, 824, 852 on a calculator?

You can find the GCD of 548, 824, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.