GCD of 26, 980, 736, 301 Calculator

Given Input numbers are 26, 980, 736, 301

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

Divisors of 26

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

1, 2, 13, 26

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 26, 980, 736, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 980, 736, 301 is 1.

Therefore, GCD of numbers 26, 980, 736, 301 is 1

Given Input Data is 26, 980, 736, 301

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

Prime Factorization of 26 is 2 x 13

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 301 is 7 x 43

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(26, 980) = 12740

GCD(26, 980) = ( 26 x 980 ) / 12740

GCD(26, 980) = 25480 / 12740

GCD(26, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 301

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

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

GCD(2, 301) = 602 / 602

GCD(2, 301) = 1

GCD of 26, 980, 736, 301 is 1

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• GCD of 59, 344, 136, 334
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• GCD of 17, 362, 439, 625

1. What is the GCD of 26, 980, 736, 301?

GCD of 26, 980, 736, 301 is 1

2. Where do I get the detailed procedure to find GCD of 26, 980, 736, 301?

You can find a detailed procedure to find GCD of 26, 980, 736, 301 on our page.

3. How to find GCD of 26, 980, 736, 301 on a calculator?

You can find the GCD of 26, 980, 736, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.