GCD of 344, 680, 617, 338 Calculator

Given Input numbers are 344, 680, 617, 338

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

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

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 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (344, 680, 617, 338) = 1.

Given numbers are 344, 680, 617, 338

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

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

Prime factors of 617 are 617

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 344, 680, 617, 338

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

Apply this formula for all numbers.

Step1:

LCM(344, 680) = 29240

GCD(344, 680) = ( 344 x 680 ) / 29240

= 344 / 680

= 344

Step2:

LCM(8, 617) = 4936

GCD(8, 617) = ( 8 x 617 ) / 4936

= 8 / 617

= 8

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 344, 680, 617, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 583, 315, 975
• GCD of 237, 636, 367, 757
• GCD of 647, 903, 449, 613
• GCD of 942, 762, 601, 161
• GCD of 920, 845, 655, 304

Given numbers are 344, 680, 617, 338
The greatest common divisor of numbers 344, 680, 617, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 680, 617, 338 is 1.

1. What is the GCD of 344, 680, 617, 338?

GCD of given numbers 344, 680, 617, 338 is 1

2. How to calculate the greatest common divisor of 344, 680, 617, 338?

We can find the highest common divisor of 344, 680, 617, 338 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 344, 680, 617, 338 i.e 1.

3. How can I use the GCD of 344, 680, 617, 338Calculator?

Out the numbers 344, 680, 617, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.