GCD of 674, 709, 966, 288 Calculator

Given Input numbers are 674, 709, 966, 288

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 674, 709, 966, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 709, 966, 288 is 1.

Therefore, GCD of numbers 674, 709, 966, 288 is 1

Given Input Data is 674, 709, 966, 288

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 709 is 709

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(674, 709) = 477866

GCD(674, 709) = ( 674 x 709 ) / 477866

GCD(674, 709) = 477866 / 477866

GCD(674, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 674, 709, 966, 288 is 1

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1. What is the GCD of 674, 709, 966, 288?

GCD of 674, 709, 966, 288 is 1

2. Where do I get the detailed procedure to find GCD of 674, 709, 966, 288?

You can find a detailed procedure to find GCD of 674, 709, 966, 288 on our page.

3. How to find GCD of 674, 709, 966, 288 on a calculator?

You can find the GCD of 674, 709, 966, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.