GCD of 117, 774, 453, 368 Calculator

Given Input numbers are 117, 774, 453, 368

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 117, 774, 453, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 774, 453, 368 is 1.

Therefore, GCD of numbers 117, 774, 453, 368 is 1

Given Input Data is 117, 774, 453, 368

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 453 is 3 x 151

Prime Factorization of 368 is 2 x 2 x 2 x 2 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(117, 774) = 10062

GCD(117, 774) = ( 117 x 774 ) / 10062

GCD(117, 774) = 90558 / 10062

GCD(117, 774) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 453

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

LCM(9, 453) = 1359

GCD(9, 453) = ( 9 x 453 ) / 1359

GCD(9, 453) = 4077 / 1359

GCD(9, 453) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 368

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

LCM(3, 368) = 1104

GCD(3, 368) = ( 3 x 368 ) / 1104

GCD(3, 368) = 1104 / 1104

GCD(3, 368) = 1

GCD of 117, 774, 453, 368 is 1

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• GCD of 771, 295, 480, 610
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1. What is the GCD of 117, 774, 453, 368?

GCD of 117, 774, 453, 368 is 1

2. Where do I get the detailed procedure to find GCD of 117, 774, 453, 368?

You can find a detailed procedure to find GCD of 117, 774, 453, 368 on our page.

3. How to find GCD of 117, 774, 453, 368 on a calculator?

You can find the GCD of 117, 774, 453, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.