GCD of 764, 688, 111, 377 Calculator

Given Input numbers are 764, 688, 111, 377

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 764, 688, 111, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 688, 111, 377 is 1.

Therefore, GCD of numbers 764, 688, 111, 377 is 1

Given Input Data is 764, 688, 111, 377

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 111 is 3 x 37

Prime Factorization of 377 is 13 x 29

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(764, 688) = 131408

GCD(764, 688) = ( 764 x 688 ) / 131408

GCD(764, 688) = 525632 / 131408

GCD(764, 688) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 111

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

LCM(4, 111) = 444

GCD(4, 111) = ( 4 x 111 ) / 444

GCD(4, 111) = 444 / 444

GCD(4, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 377

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

LCM(1, 377) = 377

GCD(1, 377) = ( 1 x 377 ) / 377

GCD(1, 377) = 377 / 377

GCD(1, 377) = 1

GCD of 764, 688, 111, 377 is 1

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1. What is the GCD of 764, 688, 111, 377?

GCD of 764, 688, 111, 377 is 1

2. Where do I get the detailed procedure to find GCD of 764, 688, 111, 377?

You can find a detailed procedure to find GCD of 764, 688, 111, 377 on our page.

3. How to find GCD of 764, 688, 111, 377 on a calculator?

You can find the GCD of 764, 688, 111, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.