GCD of 363, 392, 70 Calculator

Given Input numbers are 363, 392, 70

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

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 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Greatest Common Divisior

We found the divisors of 363, 392, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 392, 70 is 1.

Therefore, GCD of numbers 363, 392, 70 is 1

Given Input Data is 363, 392, 70

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

Prime Factorization of 363 is 3 x 11 x 11

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

Prime Factorization of 70 is 2 x 5 x 7

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(363, 392) = 142296

GCD(363, 392) = ( 363 x 392 ) / 142296

GCD(363, 392) = 142296 / 142296

GCD(363, 392) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

GCD of 363, 392, 70 is 1

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1. What is the GCD of 363, 392, 70?

GCD of 363, 392, 70 is 1

2. Where do I get the detailed procedure to find GCD of 363, 392, 70?

You can find a detailed procedure to find GCD of 363, 392, 70 on our page.

3. How to find GCD of 363, 392, 70 on a calculator?

You can find the GCD of 363, 392, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.