GCD of 260, 248, 340, 206 Calculator

Given Input numbers are 260, 248, 340, 206

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

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 260, 248, 340, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 248, 340, 206 is 2.

Therefore, GCD of numbers 260, 248, 340, 206 is 2

Given Input Data is 260, 248, 340, 206

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 206 is 2 x 103

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(260, 248) = 16120

GCD(260, 248) = ( 260 x 248 ) / 16120

GCD(260, 248) = 64480 / 16120

GCD(260, 248) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 340

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

LCM(4, 340) = 340

GCD(4, 340) = ( 4 x 340 ) / 340

GCD(4, 340) = 1360 / 340

GCD(4, 340) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 206

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

LCM(4, 206) = 412

GCD(4, 206) = ( 4 x 206 ) / 412

GCD(4, 206) = 824 / 412

GCD(4, 206) = 2

GCD of 260, 248, 340, 206 is 2

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1. What is the GCD of 260, 248, 340, 206?

GCD of 260, 248, 340, 206 is 2

2. Where do I get the detailed procedure to find GCD of 260, 248, 340, 206?

You can find a detailed procedure to find GCD of 260, 248, 340, 206 on our page.

3. How to find GCD of 260, 248, 340, 206 on a calculator?

You can find the GCD of 260, 248, 340, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.