GCD of 426, 456, 216, 284 Calculator

Given Input numbers are 426, 456, 216, 284

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (426, 456, 216, 284) = 2.

Given numbers are 426, 456, 216, 284

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 426, 456, 216, 284 is 2.

Given numbers are 426, 456, 216, 284

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

Apply this formula for all numbers.

Step1:

LCM(426, 456) = 32376

GCD(426, 456) = ( 426 x 456 ) / 32376

= 426 / 456

= 426

Step2:

LCM(6, 216) = 216

GCD(6, 216) = ( 6 x 216 ) / 216

= 6 / 216

= 6

Step3:

LCM(6, 284) = 852

GCD(6, 284) = ( 6 x 284 ) / 852

= 6 / 284

= 6

So, Greatest Common Divisor of 426, 456, 216, 284 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 367, 202, 125
• GCD of 170, 701, 321, 243
• GCD of 302, 578, 843, 412
• GCD of 599, 867, 277, 922
• GCD of 541, 740, 988, 238

Given numbers are 426, 456, 216, 284
The greatest common divisor of numbers 426, 456, 216, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 456, 216, 284 is 2.

1. What is the GCD of 426, 456, 216, 284?

GCD of given numbers 426, 456, 216, 284 is 2

2. How to calculate the greatest common divisor of 426, 456, 216, 284?

We can find the highest common divisor of 426, 456, 216, 284 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 426, 456, 216, 284 i.e 2.

3. How can I use the GCD of 426, 456, 216, 284Calculator?

Out the numbers 426, 456, 216, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.