GCD of 228, 338, 714, 724 Calculator

Given Input numbers are 228, 338, 714, 724

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (228, 338, 714, 724) = 2.

Given numbers are 228, 338, 714, 724

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 338 are 2 x 13 x 13

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 228, 338, 714, 724 is 2.

Given numbers are 228, 338, 714, 724

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

Apply this formula for all numbers.

Step1:

LCM(228, 338) = 38532

GCD(228, 338) = ( 228 x 338 ) / 38532

= 228 / 338

= 228

Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 228, 338, 714, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 779, 585, 250
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• GCD of 885, 204, 717, 803

Given numbers are 228, 338, 714, 724
The greatest common divisor of numbers 228, 338, 714, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 338, 714, 724 is 2.

1. What is the GCD of 228, 338, 714, 724?

GCD of given numbers 228, 338, 714, 724 is 2

2. How to calculate the greatest common divisor of 228, 338, 714, 724?

We can find the highest common divisor of 228, 338, 714, 724 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 228, 338, 714, 724 i.e 2.

3. How can I use the GCD of 228, 338, 714, 724Calculator?

Out the numbers 228, 338, 714, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.