GCD of 318, 586, 324, 688 Calculator

Given Input numbers are 318, 586, 324, 688

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

Divisors of 318 :

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

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

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (318, 586, 324, 688) = 2.

Given numbers are 318, 586, 324, 688

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 586 are 2 x 293

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 318, 586, 324, 688 is 2.

Given numbers are 318, 586, 324, 688

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

Apply this formula for all numbers.

Step1:

LCM(318, 586) = 93174

GCD(318, 586) = ( 318 x 586 ) / 93174

= 318 / 586

= 318

Step2:

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

= 2 / 324

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 318, 586, 324, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 672, 871, 977
• GCD of 870, 534, 708, 903
• GCD of 141, 296, 771, 810
• GCD of 939, 738, 953, 310
• GCD of 962, 229, 286, 838

Given numbers are 318, 586, 324, 688
The greatest common divisor of numbers 318, 586, 324, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 586, 324, 688 is 2.

1. What is the GCD of 318, 586, 324, 688?

GCD of given numbers 318, 586, 324, 688 is 2

2. How to calculate the greatest common divisor of 318, 586, 324, 688?

We can find the highest common divisor of 318, 586, 324, 688 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 318, 586, 324, 688 i.e 2.

3. How can I use the GCD of 318, 586, 324, 688Calculator?

Out the numbers 318, 586, 324, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.