GCD of 546, 960, 42, 849 Calculator

Given Input numbers are 546, 960, 42, 849

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

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 546, 960, 42, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 960, 42, 849 is 3.

Therefore, GCD of numbers 546, 960, 42, 849 is 3

Given Input Data is 546, 960, 42, 849

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

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 849 is 3 x 283

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(546, 960) = 87360

GCD(546, 960) = ( 546 x 960 ) / 87360

GCD(546, 960) = 524160 / 87360

GCD(546, 960) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 42

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

LCM(6, 42) = 42

GCD(6, 42) = ( 6 x 42 ) / 42

GCD(6, 42) = 252 / 42

GCD(6, 42) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 849

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

LCM(6, 849) = 1698

GCD(6, 849) = ( 6 x 849 ) / 1698

GCD(6, 849) = 5094 / 1698

GCD(6, 849) = 3

GCD of 546, 960, 42, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 832, 82, 917
• GCD of 113, 440, 95, 209
• GCD of 650, 539, 92, 664
• GCD of 172, 371, 16, 420
• GCD of 853, 702, 88, 909

1. What is the GCD of 546, 960, 42, 849?

GCD of 546, 960, 42, 849 is 3

2. Where do I get the detailed procedure to find GCD of 546, 960, 42, 849?

You can find a detailed procedure to find GCD of 546, 960, 42, 849 on our page.

3. How to find GCD of 546, 960, 42, 849 on a calculator?

You can find the GCD of 546, 960, 42, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.