GCD of 314, 129, 948, 390 Calculator

Given Input numbers are 314, 129, 948, 390

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

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 129 :

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

1, 3, 43, 129

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (314, 129, 948, 390) = 1.

Given numbers are 314, 129, 948, 390

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 129 are 3 x 43

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 390 are 2 x 3 x 5 x 13

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

Given numbers are 314, 129, 948, 390

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

Apply this formula for all numbers.

Step1:

LCM(314, 129) = 40506

GCD(314, 129) = ( 314 x 129 ) / 40506

= 314 / 129

= 314

Step2:

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

= 1 / 948

= 1

Step3:

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

= 1 / 390

= 1

So, Greatest Common Divisor of 314, 129, 948, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 833, 546, 278
• GCD of 309, 545, 261, 259
• GCD of 459, 900, 119, 736
• GCD of 548, 992, 294, 431
• GCD of 337, 181, 284, 562

Given numbers are 314, 129, 948, 390
The greatest common divisor of numbers 314, 129, 948, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 129, 948, 390 is 1.

1. What is the GCD of 314, 129, 948, 390?

GCD of given numbers 314, 129, 948, 390 is 1

2. How to calculate the greatest common divisor of 314, 129, 948, 390?

We can find the highest common divisor of 314, 129, 948, 390 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 314, 129, 948, 390 i.e 1.

3. How can I use the GCD of 314, 129, 948, 390Calculator?

Out the numbers 314, 129, 948, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.