GCD of 308, 474, 16, 771 Calculator

Given Input numbers are 308, 474, 16, 771

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

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 308, 474, 16, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 474, 16, 771 is 1.

Therefore, GCD of numbers 308, 474, 16, 771 is 1

Given Input Data is 308, 474, 16, 771

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

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 771 is 3 x 257

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(308, 474) = 72996

GCD(308, 474) = ( 308 x 474 ) / 72996

GCD(308, 474) = 145992 / 72996

GCD(308, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

GCD of 308, 474, 16, 771 is 1

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• GCD of 335, 368, 42, 297
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1. What is the GCD of 308, 474, 16, 771?

GCD of 308, 474, 16, 771 is 1

2. Where do I get the detailed procedure to find GCD of 308, 474, 16, 771?

You can find a detailed procedure to find GCD of 308, 474, 16, 771 on our page.

3. How to find GCD of 308, 474, 16, 771 on a calculator?

You can find the GCD of 308, 474, 16, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.