GCD of 776, 146, 109, 616 Calculator

Given Input numbers are 776, 146, 109, 616

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

Divisors of 776

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

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 776, 146, 109, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 146, 109, 616 is 1.

Therefore, GCD of numbers 776, 146, 109, 616 is 1

Given Input Data is 776, 146, 109, 616

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

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 109 is 109

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(776, 146) = 56648

GCD(776, 146) = ( 776 x 146 ) / 56648

GCD(776, 146) = 113296 / 56648

GCD(776, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 776, 146, 109, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 388, 179, 481
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1. What is the GCD of 776, 146, 109, 616?

GCD of 776, 146, 109, 616 is 1

2. Where do I get the detailed procedure to find GCD of 776, 146, 109, 616?

You can find a detailed procedure to find GCD of 776, 146, 109, 616 on our page.

3. How to find GCD of 776, 146, 109, 616 on a calculator?

You can find the GCD of 776, 146, 109, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.