GCD of 104, 408, 280, 294 Calculator

Given Input numbers are 104, 408, 280, 294

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

GCD of numbers is the greatest common divisor

So, the GCD (104, 408, 280, 294) = 2.

Given numbers are 104, 408, 280, 294

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Prime factors of 294 are 2 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 104, 408, 280, 294 is 2.

Given numbers are 104, 408, 280, 294

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

Apply this formula for all numbers.

Step1:

LCM(104, 408) = 5304

GCD(104, 408) = ( 104 x 408 ) / 5304

= 104 / 408

= 104

Step2:

LCM(8, 280) = 280

GCD(8, 280) = ( 8 x 280 ) / 280

= 8 / 280

= 8

Step3:

LCM(8, 294) = 1176

GCD(8, 294) = ( 8 x 294 ) / 1176

= 8 / 294

= 8

So, Greatest Common Divisor of 104, 408, 280, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 220, 896, 790
• GCD of 601, 105, 811, 334
• GCD of 636, 663, 119, 686
• GCD of 967, 760, 797, 151
• GCD of 652, 738, 453, 482

Given numbers are 104, 408, 280, 294
The greatest common divisor of numbers 104, 408, 280, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 408, 280, 294 is 2.

1. What is the GCD of 104, 408, 280, 294?

GCD of given numbers 104, 408, 280, 294 is 2

2. How to calculate the greatest common divisor of 104, 408, 280, 294?

We can find the highest common divisor of 104, 408, 280, 294 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 104, 408, 280, 294 i.e 2.

3. How can I use the GCD of 104, 408, 280, 294Calculator?

Out the numbers 104, 408, 280, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.