GCD of 678, 100, 438, 439 Calculator

Given Input numbers are 678, 100, 438, 439

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 439 :

The positive integer divisors of 439 that completely divides 439 are.

1, 439

GCD of numbers is the greatest common divisor

So, the GCD (678, 100, 438, 439) = 1.

Given numbers are 678, 100, 438, 439

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 438 are 2 x 3 x 73

Prime factors of 439 are 439

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 678, 100, 438, 439

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

Apply this formula for all numbers.

Step1:

LCM(678, 100) = 33900

GCD(678, 100) = ( 678 x 100 ) / 33900

= 678 / 100

= 678

Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

Step3:

LCM(2, 439) = 878

GCD(2, 439) = ( 2 x 439 ) / 878

= 2 / 439

= 2

So, Greatest Common Divisor of 678, 100, 438, 439 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 460, 144, 847
• GCD of 416, 941, 435, 988
• GCD of 373, 199, 943, 500
• GCD of 367, 499, 898, 358
• GCD of 334, 326, 234, 737

Given numbers are 678, 100, 438, 439
The greatest common divisor of numbers 678, 100, 438, 439 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 100, 438, 439 is 1.

1. What is the GCD of 678, 100, 438, 439?

GCD of given numbers 678, 100, 438, 439 is 1

2. How to calculate the greatest common divisor of 678, 100, 438, 439?

We can find the highest common divisor of 678, 100, 438, 439 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, 100, 438, 439 i.e 1.

3. How can I use the GCD of 678, 100, 438, 439Calculator?

Out the numbers 678, 100, 438, 439 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.