GCD of 428, 216, 414, 798 Calculator

Given Input numbers are 428, 216, 414, 798

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (428, 216, 414, 798) = 2.

Given numbers are 428, 216, 414, 798

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 428, 216, 414, 798 is 2.

Given numbers are 428, 216, 414, 798

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

Apply this formula for all numbers.

Step1:

LCM(428, 216) = 23112

GCD(428, 216) = ( 428 x 216 ) / 23112

= 428 / 216

= 428

Step2:

LCM(4, 414) = 828

GCD(4, 414) = ( 4 x 414 ) / 828

= 4 / 414

= 4

Step3:

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

= 2 / 798

= 2

So, Greatest Common Divisor of 428, 216, 414, 798 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 974, 707, 944
• GCD of 730, 572, 721, 213
• GCD of 704, 969, 505, 173
• GCD of 755, 111, 794, 698
• GCD of 351, 131, 950, 871

Given numbers are 428, 216, 414, 798
The greatest common divisor of numbers 428, 216, 414, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 216, 414, 798 is 2.

1. What is the GCD of 428, 216, 414, 798?

GCD of given numbers 428, 216, 414, 798 is 2

2. How to calculate the greatest common divisor of 428, 216, 414, 798?

We can find the highest common divisor of 428, 216, 414, 798 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 428, 216, 414, 798 i.e 2.

3. How can I use the GCD of 428, 216, 414, 798Calculator?

Out the numbers 428, 216, 414, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.