GCD of 392, 519, 763, 107 Calculator

Given Input numbers are 392, 519, 763, 107

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 392, 519, 763, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 519, 763, 107 is 1.

Therefore, GCD of numbers 392, 519, 763, 107 is 1

Given Input Data is 392, 519, 763, 107

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 519 is 3 x 173

Prime Factorization of 763 is 7 x 109

Prime Factorization of 107 is 107

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(392, 519) = 203448

GCD(392, 519) = ( 392 x 519 ) / 203448

GCD(392, 519) = 203448 / 203448

GCD(392, 519) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 392, 519, 763, 107 is 1

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1. What is the GCD of 392, 519, 763, 107?

GCD of 392, 519, 763, 107 is 1

2. Where do I get the detailed procedure to find GCD of 392, 519, 763, 107?

You can find a detailed procedure to find GCD of 392, 519, 763, 107 on our page.

3. How to find GCD of 392, 519, 763, 107 on a calculator?

You can find the GCD of 392, 519, 763, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.