GCD of 678, 435, 246, 360 Calculator

Given Input numbers are 678, 435, 246, 360

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 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (678, 435, 246, 360) = 3.

Given numbers are 678, 435, 246, 360

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 435 are 3 x 5 x 29

Prime factors of 246 are 2 x 3 x 41

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 678, 435, 246, 360 is 3.

Given numbers are 678, 435, 246, 360

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

Apply this formula for all numbers.

Step1:

LCM(678, 435) = 98310

GCD(678, 435) = ( 678 x 435 ) / 98310

= 678 / 435

= 678

Step2:

LCM(3, 246) = 246

GCD(3, 246) = ( 3 x 246 ) / 246

= 3 / 246

= 3

Step3:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

So, Greatest Common Divisor of 678, 435, 246, 360 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 481, 335, 843
• GCD of 685, 872, 507, 554
• GCD of 722, 298, 846, 279
• GCD of 210, 348, 143, 901
• GCD of 683, 652, 588, 678

Given numbers are 678, 435, 246, 360
The greatest common divisor of numbers 678, 435, 246, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 435, 246, 360 is 3.

1. What is the GCD of 678, 435, 246, 360?

GCD of given numbers 678, 435, 246, 360 is 3

2. How to calculate the greatest common divisor of 678, 435, 246, 360?

We can find the highest common divisor of 678, 435, 246, 360 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, 435, 246, 360 i.e 3.

3. How can I use the GCD of 678, 435, 246, 360Calculator?

Out the numbers 678, 435, 246, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.