GCD of 388, 814, 77, 754 Calculator

Given Input numbers are 388, 814, 77, 754

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 388, 814, 77, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 814, 77, 754 is 1.

Therefore, GCD of numbers 388, 814, 77, 754 is 1

Given Input Data is 388, 814, 77, 754

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 77 is 7 x 11

Prime Factorization of 754 is 2 x 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(388, 814) = 157916

GCD(388, 814) = ( 388 x 814 ) / 157916

GCD(388, 814) = 315832 / 157916

GCD(388, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 388, 814, 77, 754 is 1

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• GCD of 722, 259, 65, 282
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1. What is the GCD of 388, 814, 77, 754?

GCD of 388, 814, 77, 754 is 1

2. Where do I get the detailed procedure to find GCD of 388, 814, 77, 754?

You can find a detailed procedure to find GCD of 388, 814, 77, 754 on our page.

3. How to find GCD of 388, 814, 77, 754 on a calculator?

You can find the GCD of 388, 814, 77, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.