GCD of 269, 297, 32, 976 Calculator

Given Input numbers are 269, 297, 32, 976

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

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 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 269, 297, 32, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 297, 32, 976 is 1.

Therefore, GCD of numbers 269, 297, 32, 976 is 1

Given Input Data is 269, 297, 32, 976

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

Prime Factorization of 269 is 269

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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(269, 297) = 79893

GCD(269, 297) = ( 269 x 297 ) / 79893

GCD(269, 297) = 79893 / 79893

GCD(269, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

GCD of 269, 297, 32, 976 is 1

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1. What is the GCD of 269, 297, 32, 976?

GCD of 269, 297, 32, 976 is 1

2. Where do I get the detailed procedure to find GCD of 269, 297, 32, 976?

You can find a detailed procedure to find GCD of 269, 297, 32, 976 on our page.

3. How to find GCD of 269, 297, 32, 976 on a calculator?

You can find the GCD of 269, 297, 32, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.