GCD of 969, 273, 325, 312 Calculator

Given Input numbers are 969, 273, 325, 312

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 273

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

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

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 969, 273, 325, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 273, 325, 312 is 1.

Therefore, GCD of numbers 969, 273, 325, 312 is 1

Given Input Data is 969, 273, 325, 312

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 273 is 3 x 7 x 13

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 312 is 2 x 2 x 2 x 3 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(969, 273) = 88179

GCD(969, 273) = ( 969 x 273 ) / 88179

GCD(969, 273) = 264537 / 88179

GCD(969, 273) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 325

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

LCM(3, 325) = 975

GCD(3, 325) = ( 3 x 325 ) / 975

GCD(3, 325) = 975 / 975

GCD(3, 325) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 969, 273, 325, 312 is 1

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1. What is the GCD of 969, 273, 325, 312?

GCD of 969, 273, 325, 312 is 1

2. Where do I get the detailed procedure to find GCD of 969, 273, 325, 312?

You can find a detailed procedure to find GCD of 969, 273, 325, 312 on our page.

3. How to find GCD of 969, 273, 325, 312 on a calculator?

You can find the GCD of 969, 273, 325, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.