GCD of 338, 672, 214, 441 Calculator

Given Input numbers are 338, 672, 214, 441

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 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (338, 672, 214, 441) = 1.

Given numbers are 338, 672, 214, 441

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 214 are 2 x 107

Prime factors of 441 are 3 x 3 x 7 x 7

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

Given numbers are 338, 672, 214, 441

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

Apply this formula for all numbers.

Step1:

LCM(338, 672) = 113568

GCD(338, 672) = ( 338 x 672 ) / 113568

= 338 / 672

= 338

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

Step3:

LCM(2, 441) = 882

GCD(2, 441) = ( 2 x 441 ) / 882

= 2 / 441

= 2

So, Greatest Common Divisor of 338, 672, 214, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 695, 544, 816
• GCD of 933, 814, 139, 996
• GCD of 604, 737, 836, 817
• GCD of 820, 161, 123, 859
• GCD of 225, 745, 686, 947

Given numbers are 338, 672, 214, 441
The greatest common divisor of numbers 338, 672, 214, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 672, 214, 441 is 1.

1. What is the GCD of 338, 672, 214, 441?

GCD of given numbers 338, 672, 214, 441 is 1

2. How to calculate the greatest common divisor of 338, 672, 214, 441?

We can find the highest common divisor of 338, 672, 214, 441 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, 672, 214, 441 i.e 1.

3. How can I use the GCD of 338, 672, 214, 441Calculator?

Out the numbers 338, 672, 214, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.