GCD of 428, 606, 798, 648 Calculator

Given Input numbers are 428, 606, 798, 648

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 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (428, 606, 798, 648) = 2.

Given numbers are 428, 606, 798, 648

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 606 are 2 x 3 x 101

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 428, 606, 798, 648 is 2.

Given numbers are 428, 606, 798, 648

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

Apply this formula for all numbers.

Step1:

LCM(428, 606) = 129684

GCD(428, 606) = ( 428 x 606 ) / 129684

= 428 / 606

= 428

Step2:

LCM(2, 798) = 798

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

= 2 / 798

= 2

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 428, 606, 798, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 388, 675, 539
• GCD of 611, 954, 561, 354
• GCD of 760, 819, 162, 184
• GCD of 187, 669, 735, 416
• GCD of 680, 186, 460, 846

Given numbers are 428, 606, 798, 648
The greatest common divisor of numbers 428, 606, 798, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 606, 798, 648 is 2.

1. What is the GCD of 428, 606, 798, 648?

GCD of given numbers 428, 606, 798, 648 is 2

2. How to calculate the greatest common divisor of 428, 606, 798, 648?

We can find the highest common divisor of 428, 606, 798, 648 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, 606, 798, 648 i.e 2.

3. How can I use the GCD of 428, 606, 798, 648Calculator?

Out the numbers 428, 606, 798, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.