GCD of 134, 269, 97, 828 Calculator

Given Input numbers are 134, 269, 97, 828

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 134, 269, 97, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 269, 97, 828 is 1.

Therefore, GCD of numbers 134, 269, 97, 828 is 1

Given Input Data is 134, 269, 97, 828

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 269 is 269

Prime Factorization of 97 is 97

Prime Factorization of 828 is 2 x 2 x 3 x 3 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(134, 269) = 36046

GCD(134, 269) = ( 134 x 269 ) / 36046

GCD(134, 269) = 36046 / 36046

GCD(134, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 134, 269, 97, 828 is 1

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1. What is the GCD of 134, 269, 97, 828?

GCD of 134, 269, 97, 828 is 1

2. Where do I get the detailed procedure to find GCD of 134, 269, 97, 828?

You can find a detailed procedure to find GCD of 134, 269, 97, 828 on our page.

3. How to find GCD of 134, 269, 97, 828 on a calculator?

You can find the GCD of 134, 269, 97, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.