GCD of 384, 129, 708, 314 Calculator

Given Input numbers are 384, 129, 708, 314

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (384, 129, 708, 314) = 1.

Given numbers are 384, 129, 708, 314

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 129 are 3 x 43

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 314 are 2 x 157

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

Given numbers are 384, 129, 708, 314

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

Apply this formula for all numbers.

Step1:

LCM(384, 129) = 16512

GCD(384, 129) = ( 384 x 129 ) / 16512

= 384 / 129

= 384

Step2:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3

Step3:

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

= 3 / 314

= 3

So, Greatest Common Divisor of 384, 129, 708, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 574, 387, 734
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• GCD of 751, 838, 466, 837

Given numbers are 384, 129, 708, 314
The greatest common divisor of numbers 384, 129, 708, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 129, 708, 314 is 1.

1. What is the GCD of 384, 129, 708, 314?

GCD of given numbers 384, 129, 708, 314 is 1

2. How to calculate the greatest common divisor of 384, 129, 708, 314?

We can find the highest common divisor of 384, 129, 708, 314 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 384, 129, 708, 314 i.e 1.

3. How can I use the GCD of 384, 129, 708, 314Calculator?

Out the numbers 384, 129, 708, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.