GCD of 429, 778, 18, 300 Calculator

Given Input numbers are 429, 778, 18, 300

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 429, 778, 18, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 778, 18, 300 is 1.

Therefore, GCD of numbers 429, 778, 18, 300 is 1

Given Input Data is 429, 778, 18, 300

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 778 is 2 x 389

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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, 778) = 333762

GCD(429, 778) = ( 429 x 778 ) / 333762

GCD(429, 778) = 333762 / 333762

GCD(429, 778) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 429, 778, 18, 300 is 1

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• GCD of 625, 587, 96, 859
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1. What is the GCD of 429, 778, 18, 300?

GCD of 429, 778, 18, 300 is 1

2. Where do I get the detailed procedure to find GCD of 429, 778, 18, 300?

You can find a detailed procedure to find GCD of 429, 778, 18, 300 on our page.

3. How to find GCD of 429, 778, 18, 300 on a calculator?

You can find the GCD of 429, 778, 18, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.