GCD of 149, 959, 15, 729 Calculator

Given Input numbers are 149, 959, 15, 729

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 149, 959, 15, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 959, 15, 729 is 1.

Therefore, GCD of numbers 149, 959, 15, 729 is 1

Given Input Data is 149, 959, 15, 729

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

Prime Factorization of 149 is 149

Prime Factorization of 959 is 7 x 137

Prime Factorization of 15 is 3 x 5

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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(149, 959) = 142891

GCD(149, 959) = ( 149 x 959 ) / 142891

GCD(149, 959) = 142891 / 142891

GCD(149, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 149, 959, 15, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 128, 93, 506
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• GCD of 928, 681, 26, 296

1. What is the GCD of 149, 959, 15, 729?

GCD of 149, 959, 15, 729 is 1

2. Where do I get the detailed procedure to find GCD of 149, 959, 15, 729?

You can find a detailed procedure to find GCD of 149, 959, 15, 729 on our page.

3. How to find GCD of 149, 959, 15, 729 on a calculator?

You can find the GCD of 149, 959, 15, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.