GCD of 26, 969, 298, 823 Calculator

Given Input numbers are 26, 969, 298, 823

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 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Greatest Common Divisior

We found the divisors of 26, 969, 298, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 969, 298, 823 is 1.

Therefore, GCD of numbers 26, 969, 298, 823 is 1

Given Input Data is 26, 969, 298, 823

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 298 is 2 x 149

Prime Factorization of 823 is 823

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, 969) = 25194

GCD(26, 969) = ( 26 x 969 ) / 25194

GCD(26, 969) = 25194 / 25194

GCD(26, 969) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 823

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

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

GCD(1, 823) = 823 / 823

GCD(1, 823) = 1

GCD of 26, 969, 298, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 625, 603, 628
• GCD of 99, 957, 807, 562
• GCD of 68, 148, 267, 692
• GCD of 10, 204, 210, 137
• GCD of 91, 977, 817, 269

1. What is the GCD of 26, 969, 298, 823?

GCD of 26, 969, 298, 823 is 1

2. Where do I get the detailed procedure to find GCD of 26, 969, 298, 823?

You can find a detailed procedure to find GCD of 26, 969, 298, 823 on our page.

3. How to find GCD of 26, 969, 298, 823 on a calculator?

You can find the GCD of 26, 969, 298, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.