GCD of 308, 980, 26, 253 Calculator

Given Input numbers are 308, 980, 26, 253

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

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 308, 980, 26, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 980, 26, 253 is 1.

Therefore, GCD of numbers 308, 980, 26, 253 is 1

Given Input Data is 308, 980, 26, 253

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

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 26 is 2 x 13

Prime Factorization of 253 is 11 x 23

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(308, 980) = 10780

GCD(308, 980) = ( 308 x 980 ) / 10780

GCD(308, 980) = 301840 / 10780

GCD(308, 980) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 26

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

LCM(28, 26) = 364

GCD(28, 26) = ( 28 x 26 ) / 364

GCD(28, 26) = 728 / 364

GCD(28, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 253

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

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

GCD(2, 253) = 506 / 506

GCD(2, 253) = 1

GCD of 308, 980, 26, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 392, 87, 164
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• GCD of 599, 652, 77, 234
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• GCD of 242, 434, 42, 793

1. What is the GCD of 308, 980, 26, 253?

GCD of 308, 980, 26, 253 is 1

2. Where do I get the detailed procedure to find GCD of 308, 980, 26, 253?

You can find a detailed procedure to find GCD of 308, 980, 26, 253 on our page.

3. How to find GCD of 308, 980, 26, 253 on a calculator?

You can find the GCD of 308, 980, 26, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.