GCD of 429, 338, 300, 416 Calculator

Given Input numbers are 429, 338, 300, 416

In the factoring method, we have to find the divisors of all numbers

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

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

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD of numbers is the greatest common divisor

So, the GCD (429, 338, 300, 416) = 1.

Given numbers are 429, 338, 300, 416

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 338 are 2 x 13 x 13

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 429, 338, 300, 416

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(429, 338) = 11154

GCD(429, 338) = ( 429 x 338 ) / 11154

= 429 / 338

= 429

Step2:

LCM(13, 300) = 3900

GCD(13, 300) = ( 13 x 300 ) / 3900

= 13 / 300

= 13

Step3:

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

= 1 / 416

= 1

So, Greatest Common Divisor of 429, 338, 300, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 479, 248, 903
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• GCD of 663, 878, 721, 777

Given numbers are 429, 338, 300, 416
The greatest common divisor of numbers 429, 338, 300, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 338, 300, 416 is 1.

1. What is the GCD of 429, 338, 300, 416?

GCD of given numbers 429, 338, 300, 416 is 1

2. How to calculate the greatest common divisor of 429, 338, 300, 416?

We can find the highest common divisor of 429, 338, 300, 416 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 429, 338, 300, 416 i.e 1.

3. How can I use the GCD of 429, 338, 300, 416Calculator?

Out the numbers 429, 338, 300, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.