GCD of 852, 546, 552 Calculator

Given Input numbers are 852, 546, 552

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

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 852, 546, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 546, 552 is 6.

Therefore, GCD of numbers 852, 546, 552 is 6

Given Input Data is 852, 546, 552

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

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(852, 546) = 77532

GCD(852, 546) = ( 852 x 546 ) / 77532

GCD(852, 546) = 465192 / 77532

GCD(852, 546) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 552

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

LCM(6, 552) = 552

GCD(6, 552) = ( 6 x 552 ) / 552

GCD(6, 552) = 3312 / 552

GCD(6, 552) = 6

GCD of 852, 546, 552 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 880, 693
• GCD of 801, 255, 384
• GCD of 382, 932, 281
• GCD of 904, 852, 680
• GCD of 675, 654, 176

1. What is the GCD of 852, 546, 552?

GCD of 852, 546, 552 is 6

2. Where do I get the detailed procedure to find GCD of 852, 546, 552?

You can find a detailed procedure to find GCD of 852, 546, 552 on our page.

3. How to find GCD of 852, 546, 552 on a calculator?

You can find the GCD of 852, 546, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.