GCD of 708, 318, 312, 340 Calculator

Given Input numbers are 708, 318, 312, 340

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

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (708, 318, 312, 340) = 2.

Given numbers are 708, 318, 312, 340

The list of prime factors of all numbers are

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

Prime factors of 318 are 2 x 3 x 53

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 708, 318, 312, 340 is 2.

Given numbers are 708, 318, 312, 340

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

Apply this formula for all numbers.

Step1:

LCM(708, 318) = 37524

GCD(708, 318) = ( 708 x 318 ) / 37524

= 708 / 318

= 708

Step2:

LCM(6, 312) = 312

GCD(6, 312) = ( 6 x 312 ) / 312

= 6 / 312

= 6

Step3:

LCM(6, 340) = 1020

GCD(6, 340) = ( 6 x 340 ) / 1020

= 6 / 340

= 6

So, Greatest Common Divisor of 708, 318, 312, 340 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 652, 908, 288
• GCD of 860, 575, 618, 904
• GCD of 681, 460, 644, 225
• GCD of 110, 895, 447, 210
• GCD of 368, 812, 964, 925

Given numbers are 708, 318, 312, 340
The greatest common divisor of numbers 708, 318, 312, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 318, 312, 340 is 2.

1. What is the GCD of 708, 318, 312, 340?

GCD of given numbers 708, 318, 312, 340 is 2

2. How to calculate the greatest common divisor of 708, 318, 312, 340?

We can find the highest common divisor of 708, 318, 312, 340 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 708, 318, 312, 340 i.e 2.

3. How can I use the GCD of 708, 318, 312, 340Calculator?

Out the numbers 708, 318, 312, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.