GCD of 136, 826, 289, 501 Calculator

Given Input numbers are 136, 826, 289, 501

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Greatest Common Divisior

We found the divisors of 136, 826, 289, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 826, 289, 501 is 1.

Therefore, GCD of numbers 136, 826, 289, 501 is 1

Given Input Data is 136, 826, 289, 501

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 289 is 17 x 17

Prime Factorization of 501 is 3 x 167

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(136, 826) = 56168

GCD(136, 826) = ( 136 x 826 ) / 56168

GCD(136, 826) = 112336 / 56168

GCD(136, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

GCD of 136, 826, 289, 501 is 1

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1. What is the GCD of 136, 826, 289, 501?

GCD of 136, 826, 289, 501 is 1

2. Where do I get the detailed procedure to find GCD of 136, 826, 289, 501?

You can find a detailed procedure to find GCD of 136, 826, 289, 501 on our page.

3. How to find GCD of 136, 826, 289, 501 on a calculator?

You can find the GCD of 136, 826, 289, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.