GCD of 338, 318, 680, 584 Calculator

Given Input numbers are 338, 318, 680, 584

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 318 :

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

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (338, 318, 680, 584) = 2.

Given numbers are 338, 318, 680, 584

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 318 are 2 x 3 x 53

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 338, 318, 680, 584 is 2.

Given numbers are 338, 318, 680, 584

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

Apply this formula for all numbers.

Step1:

LCM(338, 318) = 53742

GCD(338, 318) = ( 338 x 318 ) / 53742

= 338 / 318

= 338

Step2:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 338, 318, 680, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 411, 602, 562
• GCD of 922, 643, 863, 969
• GCD of 666, 808, 855, 400
• GCD of 881, 592, 236, 185
• GCD of 231, 837, 505, 401

Given numbers are 338, 318, 680, 584
The greatest common divisor of numbers 338, 318, 680, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 318, 680, 584 is 2.

1. What is the GCD of 338, 318, 680, 584?

GCD of given numbers 338, 318, 680, 584 is 2

2. How to calculate the greatest common divisor of 338, 318, 680, 584?

We can find the highest common divisor of 338, 318, 680, 584 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 338, 318, 680, 584 i.e 2.

3. How can I use the GCD of 338, 318, 680, 584Calculator?

Out the numbers 338, 318, 680, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.