GCD of 348, 627, 64, 260 Calculator

Given Input numbers are 348, 627, 64, 260

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 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 348, 627, 64, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 627, 64, 260 is 1.

Therefore, GCD of numbers 348, 627, 64, 260 is 1

Given Input Data is 348, 627, 64, 260

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 627 is 3 x 11 x 19

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 260 is 2 x 2 x 5 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, 627) = 72732

GCD(348, 627) = ( 348 x 627 ) / 72732

GCD(348, 627) = 218196 / 72732

GCD(348, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 64

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

LCM(3, 64) = 192

GCD(3, 64) = ( 3 x 64 ) / 192

GCD(3, 64) = 192 / 192

GCD(3, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 348, 627, 64, 260 is 1

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1. What is the GCD of 348, 627, 64, 260?

GCD of 348, 627, 64, 260 is 1

2. Where do I get the detailed procedure to find GCD of 348, 627, 64, 260?

You can find a detailed procedure to find GCD of 348, 627, 64, 260 on our page.

3. How to find GCD of 348, 627, 64, 260 on a calculator?

You can find the GCD of 348, 627, 64, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.