GCD of 546, 849, 147, 585 Calculator

Given Input numbers are 546, 849, 147, 585

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 849

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

1, 3, 283, 849

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 546, 849, 147, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 849, 147, 585 is 3.

Therefore, GCD of numbers 546, 849, 147, 585 is 3

Given Input Data is 546, 849, 147, 585

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 849 is 3 x 283

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 585 is 3 x 3 x 5 x 13

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, 849) = 154518

GCD(546, 849) = ( 546 x 849 ) / 154518

GCD(546, 849) = 463554 / 154518

GCD(546, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 147

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

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

GCD(3, 147) = 441 / 147

GCD(3, 147) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 585

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

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

GCD(3, 585) = 1755 / 585

GCD(3, 585) = 3

GCD of 546, 849, 147, 585 is 3

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1. What is the GCD of 546, 849, 147, 585?

GCD of 546, 849, 147, 585 is 3

2. Where do I get the detailed procedure to find GCD of 546, 849, 147, 585?

You can find a detailed procedure to find GCD of 546, 849, 147, 585 on our page.

3. How to find GCD of 546, 849, 147, 585 on a calculator?

You can find the GCD of 546, 849, 147, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.