GCD of 354, 492, 69, 273 Calculator

Given Input numbers are 354, 492, 69, 273

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 354, 492, 69, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 492, 69, 273 is 3.

Therefore, GCD of numbers 354, 492, 69, 273 is 3

Given Input Data is 354, 492, 69, 273

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 69 is 3 x 23

Prime Factorization of 273 is 3 x 7 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(354, 492) = 29028

GCD(354, 492) = ( 354 x 492 ) / 29028

GCD(354, 492) = 174168 / 29028

GCD(354, 492) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 69

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

LCM(6, 69) = 138

GCD(6, 69) = ( 6 x 69 ) / 138

GCD(6, 69) = 414 / 138

GCD(6, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 273

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

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

GCD(3, 273) = 819 / 273

GCD(3, 273) = 3

GCD of 354, 492, 69, 273 is 3

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• GCD of 782, 907, 53, 379
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1. What is the GCD of 354, 492, 69, 273?

GCD of 354, 492, 69, 273 is 3

2. Where do I get the detailed procedure to find GCD of 354, 492, 69, 273?

You can find a detailed procedure to find GCD of 354, 492, 69, 273 on our page.

3. How to find GCD of 354, 492, 69, 273 on a calculator?

You can find the GCD of 354, 492, 69, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.