GCD of 684, 448, 676, 446 Calculator

Given Input numbers are 684, 448, 676, 446

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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (684, 448, 676, 446) = 2.

Given numbers are 684, 448, 676, 446

The list of prime factors of all numbers are

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 446 are 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 684, 448, 676, 446 is 2.

Given numbers are 684, 448, 676, 446

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

Apply this formula for all numbers.

Step1:

LCM(684, 448) = 76608

GCD(684, 448) = ( 684 x 448 ) / 76608

= 684 / 448

= 684

Step2:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

Step3:

LCM(4, 446) = 892

GCD(4, 446) = ( 4 x 446 ) / 892

= 4 / 446

= 4

So, Greatest Common Divisor of 684, 448, 676, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 676, 139, 119
• GCD of 219, 594, 623, 316
• GCD of 100, 353, 713, 311
• GCD of 852, 347, 856, 764
• GCD of 161, 209, 488, 229

Given numbers are 684, 448, 676, 446
The greatest common divisor of numbers 684, 448, 676, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 448, 676, 446 is 2.

1. What is the GCD of 684, 448, 676, 446?

GCD of given numbers 684, 448, 676, 446 is 2

2. How to calculate the greatest common divisor of 684, 448, 676, 446?

We can find the highest common divisor of 684, 448, 676, 446 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 684, 448, 676, 446 i.e 2.

3. How can I use the GCD of 684, 448, 676, 446Calculator?

Out the numbers 684, 448, 676, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.