GCD of 392, 119, 712 Calculator

Given Input numbers are 392, 119, 712

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 392, 119, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 119, 712 is 1.

Therefore, GCD of numbers 392, 119, 712 is 1

Given Input Data is 392, 119, 712

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 119 is 7 x 17

Prime Factorization of 712 is 2 x 2 x 2 x 89

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, 119) = 6664

GCD(392, 119) = ( 392 x 119 ) / 6664

GCD(392, 119) = 46648 / 6664

GCD(392, 119) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 712

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

LCM(7, 712) = 4984

GCD(7, 712) = ( 7 x 712 ) / 4984

GCD(7, 712) = 4984 / 4984

GCD(7, 712) = 1

GCD of 392, 119, 712 is 1

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1. What is the GCD of 392, 119, 712?

GCD of 392, 119, 712 is 1

2. Where do I get the detailed procedure to find GCD of 392, 119, 712?

You can find a detailed procedure to find GCD of 392, 119, 712 on our page.

3. How to find GCD of 392, 119, 712 on a calculator?

You can find the GCD of 392, 119, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.