GCD of 678, 218, 440, 448 Calculator

Given Input numbers are 678, 218, 440, 448

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

GCD of numbers is the greatest common divisor

So, the GCD (678, 218, 440, 448) = 2.

Given numbers are 678, 218, 440, 448

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 218 are 2 x 109

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 678, 218, 440, 448 is 2.

Given numbers are 678, 218, 440, 448

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

Apply this formula for all numbers.

Step1:

LCM(678, 218) = 73902

GCD(678, 218) = ( 678 x 218 ) / 73902

= 678 / 218

= 678

Step2:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 678, 218, 440, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 911, 779, 758
• GCD of 411, 146, 399, 261
• GCD of 832, 639, 965, 293
• GCD of 333, 877, 111, 803
• GCD of 782, 423, 812, 499

Given numbers are 678, 218, 440, 448
The greatest common divisor of numbers 678, 218, 440, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 218, 440, 448 is 2.

1. What is the GCD of 678, 218, 440, 448?

GCD of given numbers 678, 218, 440, 448 is 2

2. How to calculate the greatest common divisor of 678, 218, 440, 448?

We can find the highest common divisor of 678, 218, 440, 448 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 678, 218, 440, 448 i.e 2.

3. How can I use the GCD of 678, 218, 440, 448Calculator?

Out the numbers 678, 218, 440, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.