GCD of 726, 289, 59, 154 Calculator

Given Input numbers are 726, 289, 59, 154

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 289

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

1, 17, 289

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 726, 289, 59, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 289, 59, 154 is 1.

Therefore, GCD of numbers 726, 289, 59, 154 is 1

Given Input Data is 726, 289, 59, 154

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 289 is 17 x 17

Prime Factorization of 59 is 59

Prime Factorization of 154 is 2 x 7 x 11

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(726, 289) = 209814

GCD(726, 289) = ( 726 x 289 ) / 209814

GCD(726, 289) = 209814 / 209814

GCD(726, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 726, 289, 59, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 817, 84, 326
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• GCD of 947, 220, 77, 854

1. What is the GCD of 726, 289, 59, 154?

GCD of 726, 289, 59, 154 is 1

2. Where do I get the detailed procedure to find GCD of 726, 289, 59, 154?

You can find a detailed procedure to find GCD of 726, 289, 59, 154 on our page.

3. How to find GCD of 726, 289, 59, 154 on a calculator?

You can find the GCD of 726, 289, 59, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.