GCD of 348, 641, 448, 714 Calculator

Given Input numbers are 348, 641, 448, 714

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 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 348, 641, 448, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 641, 448, 714 is 1.

Therefore, GCD of numbers 348, 641, 448, 714 is 1

Given Input Data is 348, 641, 448, 714

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 641 is 641

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 714 is 2 x 3 x 7 x 17

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, 641) = 223068

GCD(348, 641) = ( 348 x 641 ) / 223068

GCD(348, 641) = 223068 / 223068

GCD(348, 641) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 348, 641, 448, 714 is 1

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1. What is the GCD of 348, 641, 448, 714?

GCD of 348, 641, 448, 714 is 1

2. Where do I get the detailed procedure to find GCD of 348, 641, 448, 714?

You can find a detailed procedure to find GCD of 348, 641, 448, 714 on our page.

3. How to find GCD of 348, 641, 448, 714 on a calculator?

You can find the GCD of 348, 641, 448, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.