GCD of 297, 477, 769, 169 Calculator

Given Input numbers are 297, 477, 769, 169

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 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 297, 477, 769, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 477, 769, 169 is 1.

Therefore, GCD of numbers 297, 477, 769, 169 is 1

Given Input Data is 297, 477, 769, 169

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 477 is 3 x 3 x 53

Prime Factorization of 769 is 769

Prime Factorization of 169 is 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

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, 477) = 15741

GCD(297, 477) = ( 297 x 477 ) / 15741

GCD(297, 477) = 141669 / 15741

GCD(297, 477) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 769

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

LCM(9, 769) = 6921

GCD(9, 769) = ( 9 x 769 ) / 6921

GCD(9, 769) = 6921 / 6921

GCD(9, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 297, 477, 769, 169 is 1

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1. What is the GCD of 297, 477, 769, 169?

GCD of 297, 477, 769, 169 is 1

2. Where do I get the detailed procedure to find GCD of 297, 477, 769, 169?

You can find a detailed procedure to find GCD of 297, 477, 769, 169 on our page.

3. How to find GCD of 297, 477, 769, 169 on a calculator?

You can find the GCD of 297, 477, 769, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.