GCD of 546, 658, 854, 332 Calculator

Given Input numbers are 546, 658, 854, 332

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 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 546, 658, 854, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 658, 854, 332 is 2.

Therefore, GCD of numbers 546, 658, 854, 332 is 2

Given Input Data is 546, 658, 854, 332

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 658 is 2 x 7 x 47

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 332 is 2 x 2 x 83

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(546, 658) = 25662

GCD(546, 658) = ( 546 x 658 ) / 25662

GCD(546, 658) = 359268 / 25662

GCD(546, 658) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 854

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

LCM(14, 854) = 854

GCD(14, 854) = ( 14 x 854 ) / 854

GCD(14, 854) = 11956 / 854

GCD(14, 854) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 332

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

LCM(14, 332) = 2324

GCD(14, 332) = ( 14 x 332 ) / 2324

GCD(14, 332) = 4648 / 2324

GCD(14, 332) = 2

GCD of 546, 658, 854, 332 is 2

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1. What is the GCD of 546, 658, 854, 332?

GCD of 546, 658, 854, 332 is 2

2. Where do I get the detailed procedure to find GCD of 546, 658, 854, 332?

You can find a detailed procedure to find GCD of 546, 658, 854, 332 on our page.

3. How to find GCD of 546, 658, 854, 332 on a calculator?

You can find the GCD of 546, 658, 854, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.