GCD of 338, 217, 721, 344 Calculator

Given Input numbers are 338, 217, 721, 344

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 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 344 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (338, 217, 721, 344) = 1.

Given numbers are 338, 217, 721, 344

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 217 are 7 x 31

Prime factors of 721 are 7 x 103

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

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

Given numbers are 338, 217, 721, 344

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

Apply this formula for all numbers.

Step1:

LCM(338, 217) = 73346

GCD(338, 217) = ( 338 x 217 ) / 73346

= 338 / 217

= 338

Step2:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

So, Greatest Common Divisor of 338, 217, 721, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 367, 637, 635
• GCD of 782, 800, 861, 258
• GCD of 575, 390, 615, 638
• GCD of 747, 778, 836, 232
• GCD of 711, 685, 879, 580

Given numbers are 338, 217, 721, 344
The greatest common divisor of numbers 338, 217, 721, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 217, 721, 344 is 1.

1. What is the GCD of 338, 217, 721, 344?

GCD of given numbers 338, 217, 721, 344 is 1

2. How to calculate the greatest common divisor of 338, 217, 721, 344?

We can find the highest common divisor of 338, 217, 721, 344 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, 217, 721, 344 i.e 1.

3. How can I use the GCD of 338, 217, 721, 344Calculator?

Out the numbers 338, 217, 721, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.