GCD of 678, 282, 488, 316 Calculator

Given Input numbers are 678, 282, 488, 316

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (678, 282, 488, 316) = 2.

Given numbers are 678, 282, 488, 316

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 282 are 2 x 3 x 47

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 678, 282, 488, 316 is 2.

Given numbers are 678, 282, 488, 316

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

Apply this formula for all numbers.

Step1:

LCM(678, 282) = 31866

GCD(678, 282) = ( 678 x 282 ) / 31866

= 678 / 282

= 678

Step2:

LCM(6, 488) = 1464

GCD(6, 488) = ( 6 x 488 ) / 1464

= 6 / 488

= 6

Step3:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

So, Greatest Common Divisor of 678, 282, 488, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 949, 534, 555
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Given numbers are 678, 282, 488, 316
The greatest common divisor of numbers 678, 282, 488, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 282, 488, 316 is 2.

1. What is the GCD of 678, 282, 488, 316?

GCD of given numbers 678, 282, 488, 316 is 2

2. How to calculate the greatest common divisor of 678, 282, 488, 316?

We can find the highest common divisor of 678, 282, 488, 316 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, 282, 488, 316 i.e 2.

3. How can I use the GCD of 678, 282, 488, 316Calculator?

Out the numbers 678, 282, 488, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.