GCD of 759, 146, 729, 871 Calculator

Given Input numbers are 759, 146, 729, 871

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 729

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

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 759, 146, 729, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 146, 729, 871 is 1.

Therefore, GCD of numbers 759, 146, 729, 871 is 1

Given Input Data is 759, 146, 729, 871

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 146 is 2 x 73

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

Prime Factorization of 871 is 13 x 67

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(759, 146) = 110814

GCD(759, 146) = ( 759 x 146 ) / 110814

GCD(759, 146) = 110814 / 110814

GCD(759, 146) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 759, 146, 729, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 813, 219, 719
• GCD of 952, 721, 949, 613
• GCD of 288, 264, 399, 466
• GCD of 720, 202, 437, 466
• GCD of 357, 756, 972, 598

1. What is the GCD of 759, 146, 729, 871?

GCD of 759, 146, 729, 871 is 1

2. Where do I get the detailed procedure to find GCD of 759, 146, 729, 871?

You can find a detailed procedure to find GCD of 759, 146, 729, 871 on our page.

3. How to find GCD of 759, 146, 729, 871 on a calculator?

You can find the GCD of 759, 146, 729, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.