GCD of 165, 224, 945, 391 Calculator

Given Input numbers are 165, 224, 945, 391

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 165, 224, 945, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 224, 945, 391 is 1.

Therefore, GCD of numbers 165, 224, 945, 391 is 1

Given Input Data is 165, 224, 945, 391

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 391 is 17 x 23

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(165, 224) = 36960

GCD(165, 224) = ( 165 x 224 ) / 36960

GCD(165, 224) = 36960 / 36960

GCD(165, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 391

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

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

GCD(1, 391) = 391 / 391

GCD(1, 391) = 1

GCD of 165, 224, 945, 391 is 1

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1. What is the GCD of 165, 224, 945, 391?

GCD of 165, 224, 945, 391 is 1

2. Where do I get the detailed procedure to find GCD of 165, 224, 945, 391?

You can find a detailed procedure to find GCD of 165, 224, 945, 391 on our page.

3. How to find GCD of 165, 224, 945, 391 on a calculator?

You can find the GCD of 165, 224, 945, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.