GCD of 383, 314, 772, 776 Calculator

Given Input numbers are 383, 314, 772, 776

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

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 383, 314, 772, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 383, 314, 772, 776 is 1.

Therefore, GCD of numbers 383, 314, 772, 776 is 1

Given Input Data is 383, 314, 772, 776

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

Prime Factorization of 383 is 383

Prime Factorization of 314 is 2 x 157

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 776 is 2 x 2 x 2 x 97

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(383, 314) = 120262

GCD(383, 314) = ( 383 x 314 ) / 120262

GCD(383, 314) = 120262 / 120262

GCD(383, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 776

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

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

GCD(1, 776) = 776 / 776

GCD(1, 776) = 1

GCD of 383, 314, 772, 776 is 1

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1. What is the GCD of 383, 314, 772, 776?

GCD of 383, 314, 772, 776 is 1

2. Where do I get the detailed procedure to find GCD of 383, 314, 772, 776?

You can find a detailed procedure to find GCD of 383, 314, 772, 776 on our page.

3. How to find GCD of 383, 314, 772, 776 on a calculator?

You can find the GCD of 383, 314, 772, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.