GCD of 969, 546, 171 Calculator

Given Input numbers are 969, 546, 171

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 969, 546, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 546, 171 is 3.

Therefore, GCD of numbers 969, 546, 171 is 3

Given Input Data is 969, 546, 171

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

Prime Factorization of 969 is 3 x 17 x 19

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

Prime Factorization of 171 is 3 x 3 x 19

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(969, 546) = 176358

GCD(969, 546) = ( 969 x 546 ) / 176358

GCD(969, 546) = 529074 / 176358

GCD(969, 546) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 171

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

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

GCD(3, 171) = 513 / 171

GCD(3, 171) = 3

GCD of 969, 546, 171 is 3

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1. What is the GCD of 969, 546, 171?

GCD of 969, 546, 171 is 3

2. Where do I get the detailed procedure to find GCD of 969, 546, 171?

You can find a detailed procedure to find GCD of 969, 546, 171 on our page.

3. How to find GCD of 969, 546, 171 on a calculator?

You can find the GCD of 969, 546, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.