GCD of 678, 960, 596, 316 Calculator

Given Input numbers are 678, 960, 596, 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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

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, 960, 596, 316) = 2.

Given numbers are 678, 960, 596, 316

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 596 are 2 x 2 x 149

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 678, 960, 596, 316 is 2.

Given numbers are 678, 960, 596, 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, 960) = 108480

GCD(678, 960) = ( 678 x 960 ) / 108480

= 678 / 960

= 678

Step2:

LCM(6, 596) = 1788

GCD(6, 596) = ( 6 x 596 ) / 1788

= 6 / 596

= 6

Step3:

LCM(2, 316) = 316

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

= 2 / 316

= 2

So, Greatest Common Divisor of 678, 960, 596, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 389, 734, 266
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• GCD of 176, 187, 724, 616
• GCD of 433, 271, 130, 220

Given numbers are 678, 960, 596, 316
The greatest common divisor of numbers 678, 960, 596, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 960, 596, 316 is 2.

1. What is the GCD of 678, 960, 596, 316?

GCD of given numbers 678, 960, 596, 316 is 2

2. How to calculate the greatest common divisor of 678, 960, 596, 316?

We can find the highest common divisor of 678, 960, 596, 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, 960, 596, 316 i.e 2.

3. How can I use the GCD of 678, 960, 596, 316Calculator?

Out the numbers 678, 960, 596, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.