GCD of 920, 729, 782, 746 Calculator

Given Input numbers are 920, 729, 782, 746

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 920, 729, 782, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 729, 782, 746 is 1.

Therefore, GCD of numbers 920, 729, 782, 746 is 1

Given Input Data is 920, 729, 782, 746

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 746 is 2 x 373

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(920, 729) = 670680

GCD(920, 729) = ( 920 x 729 ) / 670680

GCD(920, 729) = 670680 / 670680

GCD(920, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 920, 729, 782, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 897, 200, 112
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• GCD of 432, 385, 688, 482

1. What is the GCD of 920, 729, 782, 746?

GCD of 920, 729, 782, 746 is 1

2. Where do I get the detailed procedure to find GCD of 920, 729, 782, 746?

You can find a detailed procedure to find GCD of 920, 729, 782, 746 on our page.

3. How to find GCD of 920, 729, 782, 746 on a calculator?

You can find the GCD of 920, 729, 782, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.