GCD of 746, 929, 687, 864 Calculator

Given Input numbers are 746, 929, 687, 864

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

Divisors of 746

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

1, 2, 373, 746

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 746, 929, 687, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 929, 687, 864 is 1.

Therefore, GCD of numbers 746, 929, 687, 864 is 1

Given Input Data is 746, 929, 687, 864

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 929 is 929

Prime Factorization of 687 is 3 x 229

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 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(746, 929) = 693034

GCD(746, 929) = ( 746 x 929 ) / 693034

GCD(746, 929) = 693034 / 693034

GCD(746, 929) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 746, 929, 687, 864 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 219, 152, 624, 389

1. What is the GCD of 746, 929, 687, 864?

GCD of 746, 929, 687, 864 is 1

2. Where do I get the detailed procedure to find GCD of 746, 929, 687, 864?

You can find a detailed procedure to find GCD of 746, 929, 687, 864 on our page.

3. How to find GCD of 746, 929, 687, 864 on a calculator?

You can find the GCD of 746, 929, 687, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.