GCD of 108, 280, 804, 646 Calculator

Given Input numbers are 108, 280, 804, 646

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (108, 280, 804, 646) = 2.

Given numbers are 108, 280, 804, 646

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 2¹

Therefore, GCD of 108, 280, 804, 646 is 2.

Given numbers are 108, 280, 804, 646

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

Apply this formula for all numbers.

Step1:

LCM(108, 280) = 7560

GCD(108, 280) = ( 108 x 280 ) / 7560

= 108 / 280

= 108

Step2:

LCM(4, 804) = 804

GCD(4, 804) = ( 4 x 804 ) / 804

= 4 / 804

= 4

Step3:

LCM(4, 646) = 1292

GCD(4, 646) = ( 4 x 646 ) / 1292

= 4 / 646

= 4

So, Greatest Common Divisor of 108, 280, 804, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 459, 234, 570
• GCD of 260, 626, 237, 107
• GCD of 151, 678, 460, 472
• GCD of 437, 601, 357, 569
• GCD of 423, 999, 818, 168

Given numbers are 108, 280, 804, 646
The greatest common divisor of numbers 108, 280, 804, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 280, 804, 646 is 2.

1. What is the GCD of 108, 280, 804, 646?

GCD of given numbers 108, 280, 804, 646 is 2

2. How to calculate the greatest common divisor of 108, 280, 804, 646?

We can find the highest common divisor of 108, 280, 804, 646 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 108, 280, 804, 646 i.e 2.

3. How can I use the GCD of 108, 280, 804, 646Calculator?

Out the numbers 108, 280, 804, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.