GCD of 314, 714, 684, 316 Calculator

Given Input numbers are 314, 714, 684, 316

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 (314, 714, 684, 316) = 2.

Given numbers are 314, 714, 684, 316

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 314, 714, 684, 316 is 2.

Given numbers are 314, 714, 684, 316

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

Apply this formula for all numbers.

Step1:

LCM(314, 714) = 112098

GCD(314, 714) = ( 314 x 714 ) / 112098

= 314 / 714

= 314

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 316) = 316

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

= 2 / 316

= 2

So, Greatest Common Divisor of 314, 714, 684, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 756, 547, 740
• GCD of 487, 504, 771, 898
• GCD of 334, 706, 665, 529
• GCD of 432, 156, 637, 146
• GCD of 926, 925, 740, 566

Given numbers are 314, 714, 684, 316
The greatest common divisor of numbers 314, 714, 684, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 714, 684, 316 is 2.

1. What is the GCD of 314, 714, 684, 316?

GCD of given numbers 314, 714, 684, 316 is 2

2. How to calculate the greatest common divisor of 314, 714, 684, 316?

We can find the highest common divisor of 314, 714, 684, 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 314, 714, 684, 316 i.e 2.

3. How can I use the GCD of 314, 714, 684, 316Calculator?

Out the numbers 314, 714, 684, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.