GCD of 348, 391, 972, 286 Calculator

Given Input numbers are 348, 391, 972, 286

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 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 348, 391, 972, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 391, 972, 286 is 1.

Therefore, GCD of numbers 348, 391, 972, 286 is 1

Given Input Data is 348, 391, 972, 286

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 391 is 17 x 23

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 286 is 2 x 11 x 13

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, 391) = 136068

GCD(348, 391) = ( 348 x 391 ) / 136068

GCD(348, 391) = 136068 / 136068

GCD(348, 391) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 348, 391, 972, 286 is 1

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1. What is the GCD of 348, 391, 972, 286?

GCD of 348, 391, 972, 286 is 1

2. Where do I get the detailed procedure to find GCD of 348, 391, 972, 286?

You can find a detailed procedure to find GCD of 348, 391, 972, 286 on our page.

3. How to find GCD of 348, 391, 972, 286 on a calculator?

You can find the GCD of 348, 391, 972, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.