GCD of 297, 771, 162, 783 Calculator

Given Input numbers are 297, 771, 162, 783

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 297, 771, 162, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 771, 162, 783 is 3.

Therefore, GCD of numbers 297, 771, 162, 783 is 3

Given Input Data is 297, 771, 162, 783

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 771 is 3 x 257

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 783 is 3 x 3 x 3 x 29

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(297, 771) = 76329

GCD(297, 771) = ( 297 x 771 ) / 76329

GCD(297, 771) = 228987 / 76329

GCD(297, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 162

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

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

GCD(3, 162) = 486 / 162

GCD(3, 162) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 783

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

LCM(3, 783) = 783

GCD(3, 783) = ( 3 x 783 ) / 783

GCD(3, 783) = 2349 / 783

GCD(3, 783) = 3

GCD of 297, 771, 162, 783 is 3

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1. What is the GCD of 297, 771, 162, 783?

GCD of 297, 771, 162, 783 is 3

2. Where do I get the detailed procedure to find GCD of 297, 771, 162, 783?

You can find a detailed procedure to find GCD of 297, 771, 162, 783 on our page.

3. How to find GCD of 297, 771, 162, 783 on a calculator?

You can find the GCD of 297, 771, 162, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.