GCD of 916, 434, 300, 429 Calculator

Given Input numbers are 916, 434, 300, 429

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

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 429 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (916, 434, 300, 429) = 1.

Given numbers are 916, 434, 300, 429

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 434 are 2 x 7 x 31

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

Prime factors of 429 are 3 x 11 x 13

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

Given numbers are 916, 434, 300, 429

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

Apply this formula for all numbers.

Step1:

LCM(916, 434) = 198772

GCD(916, 434) = ( 916 x 434 ) / 198772

= 916 / 434

= 916

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

= 2 / 429

= 2

So, Greatest Common Divisor of 916, 434, 300, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 168, 818, 285
• GCD of 205, 455, 873, 958
• GCD of 854, 737, 872, 109
• GCD of 543, 709, 895, 288
• GCD of 190, 293, 224, 812

Given numbers are 916, 434, 300, 429
The greatest common divisor of numbers 916, 434, 300, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 434, 300, 429 is 1.

1. What is the GCD of 916, 434, 300, 429?

GCD of given numbers 916, 434, 300, 429 is 1

2. How to calculate the greatest common divisor of 916, 434, 300, 429?

We can find the highest common divisor of 916, 434, 300, 429 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 916, 434, 300, 429 i.e 1.

3. How can I use the GCD of 916, 434, 300, 429Calculator?

Out the numbers 916, 434, 300, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.