GCD of 348, 784, 979 Calculator

Given Input numbers are 348, 784, 979

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 348, 784, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 784, 979 is 1.

Therefore, GCD of numbers 348, 784, 979 is 1

Given Input Data is 348, 784, 979

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 979 is 11 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(348, 784) = 68208

GCD(348, 784) = ( 348 x 784 ) / 68208

GCD(348, 784) = 272832 / 68208

GCD(348, 784) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 979

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

LCM(4, 979) = 3916

GCD(4, 979) = ( 4 x 979 ) / 3916

GCD(4, 979) = 3916 / 3916

GCD(4, 979) = 1

GCD of 348, 784, 979 is 1

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1. What is the GCD of 348, 784, 979?

GCD of 348, 784, 979 is 1

2. Where do I get the detailed procedure to find GCD of 348, 784, 979?

You can find a detailed procedure to find GCD of 348, 784, 979 on our page.

3. How to find GCD of 348, 784, 979 on a calculator?

You can find the GCD of 348, 784, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.