GCD of 429, 749, 54, 864 Calculator

Given Input numbers are 429, 749, 54, 864

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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 429, 749, 54, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 749, 54, 864 is 1.

Therefore, GCD of numbers 429, 749, 54, 864 is 1

Given Input Data is 429, 749, 54, 864

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 749 is 7 x 107

Prime Factorization of 54 is 2 x 3 x 3 x 3

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(429, 749) = 321321

GCD(429, 749) = ( 429 x 749 ) / 321321

GCD(429, 749) = 321321 / 321321

GCD(429, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 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 429, 749, 54, 864 is 1

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1. What is the GCD of 429, 749, 54, 864?

GCD of 429, 749, 54, 864 is 1

2. Where do I get the detailed procedure to find GCD of 429, 749, 54, 864?

You can find a detailed procedure to find GCD of 429, 749, 54, 864 on our page.

3. How to find GCD of 429, 749, 54, 864 on a calculator?

You can find the GCD of 429, 749, 54, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.