GCD of 480, 678, 346, 824 Calculator

Given Input numbers are 480, 678, 346, 824

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 678 :

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

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

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (480, 678, 346, 824) = 2.

Given numbers are 480, 678, 346, 824

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 678 are 2 x 3 x 113

Prime factors of 346 are 2 x 173

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 480, 678, 346, 824 is 2.

Given numbers are 480, 678, 346, 824

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

Apply this formula for all numbers.

Step1:

LCM(480, 678) = 54240

GCD(480, 678) = ( 480 x 678 ) / 54240

= 480 / 678

= 480

Step2:

LCM(6, 346) = 1038

GCD(6, 346) = ( 6 x 346 ) / 1038

= 6 / 346

= 6

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 480, 678, 346, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 541, 985, 651
• GCD of 309, 608, 868, 116
• GCD of 771, 442, 908, 739
• GCD of 372, 761, 192, 687
• GCD of 604, 286, 212, 230

Given numbers are 480, 678, 346, 824
The greatest common divisor of numbers 480, 678, 346, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 678, 346, 824 is 2.

1. What is the GCD of 480, 678, 346, 824?

GCD of given numbers 480, 678, 346, 824 is 2

2. How to calculate the greatest common divisor of 480, 678, 346, 824?

We can find the highest common divisor of 480, 678, 346, 824 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 480, 678, 346, 824 i.e 2.

3. How can I use the GCD of 480, 678, 346, 824Calculator?

Out the numbers 480, 678, 346, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.