GCD of 92, 416, 308, 369 Calculator

Given Input numbers are 92, 416, 308, 369

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 369

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

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 92, 416, 308, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 416, 308, 369 is 1.

Therefore, GCD of numbers 92, 416, 308, 369 is 1

Given Input Data is 92, 416, 308, 369

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 369 is 3 x 3 x 41

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(92, 416) = 9568

GCD(92, 416) = ( 92 x 416 ) / 9568

GCD(92, 416) = 38272 / 9568

GCD(92, 416) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 308

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

LCM(4, 308) = 308

GCD(4, 308) = ( 4 x 308 ) / 308

GCD(4, 308) = 1232 / 308

GCD(4, 308) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 369

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

LCM(4, 369) = 1476

GCD(4, 369) = ( 4 x 369 ) / 1476

GCD(4, 369) = 1476 / 1476

GCD(4, 369) = 1

GCD of 92, 416, 308, 369 is 1

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• GCD of 64, 861, 521, 580

1. What is the GCD of 92, 416, 308, 369?

GCD of 92, 416, 308, 369 is 1

2. Where do I get the detailed procedure to find GCD of 92, 416, 308, 369?

You can find a detailed procedure to find GCD of 92, 416, 308, 369 on our page.

3. How to find GCD of 92, 416, 308, 369 on a calculator?

You can find the GCD of 92, 416, 308, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.