GCD of 426, 225, 468, 798 Calculator

Given Input numbers are 426, 225, 468, 798

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 (426, 225, 468, 798) = 3.

Given numbers are 426, 225, 468, 798

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 426, 225, 468, 798 is 3.

Given numbers are 426, 225, 468, 798

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

Apply this formula for all numbers.

Step1:

LCM(426, 225) = 31950

GCD(426, 225) = ( 426 x 225 ) / 31950

= 426 / 225

= 426

Step2:

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

= 3 / 468

= 3

Step3:

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

= 3 / 798

= 3

So, Greatest Common Divisor of 426, 225, 468, 798 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 576, 888, 123
• GCD of 538, 134, 596, 372
• GCD of 290, 152, 384, 901
• GCD of 389, 385, 216, 209
• GCD of 341, 568, 758, 705

Given numbers are 426, 225, 468, 798
The greatest common divisor of numbers 426, 225, 468, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 225, 468, 798 is 3.

1. What is the GCD of 426, 225, 468, 798?

GCD of given numbers 426, 225, 468, 798 is 3

2. How to calculate the greatest common divisor of 426, 225, 468, 798?

We can find the highest common divisor of 426, 225, 468, 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 426, 225, 468, 798 i.e 3.

3. How can I use the GCD of 426, 225, 468, 798Calculator?

Out the numbers 426, 225, 468, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.