GCD of 369, 654, 749, 320 Calculator

Given Input numbers are 369, 654, 749, 320

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 369, 654, 749, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 654, 749, 320 is 1.

Therefore, GCD of numbers 369, 654, 749, 320 is 1

Given Input Data is 369, 654, 749, 320

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 749 is 7 x 107

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(369, 654) = 80442

GCD(369, 654) = ( 369 x 654 ) / 80442

GCD(369, 654) = 241326 / 80442

GCD(369, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 749

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

LCM(3, 749) = 2247

GCD(3, 749) = ( 3 x 749 ) / 2247

GCD(3, 749) = 2247 / 2247

GCD(3, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 369, 654, 749, 320 is 1

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1. What is the GCD of 369, 654, 749, 320?

GCD of 369, 654, 749, 320 is 1

2. Where do I get the detailed procedure to find GCD of 369, 654, 749, 320?

You can find a detailed procedure to find GCD of 369, 654, 749, 320 on our page.

3. How to find GCD of 369, 654, 749, 320 on a calculator?

You can find the GCD of 369, 654, 749, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.