GCD of 714, 348, 441, 228 Calculator

Given Input numbers are 714, 348, 441, 228

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

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 441 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (714, 348, 441, 228) = 3.

Given numbers are 714, 348, 441, 228

The list of prime factors of all numbers are

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

Prime factors of 348 are 2 x 2 x 3 x 29

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

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

The highest common occurrence is 3¹

Therefore, GCD of 714, 348, 441, 228 is 3.

Given numbers are 714, 348, 441, 228

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

Apply this formula for all numbers.

Step1:

LCM(714, 348) = 41412

GCD(714, 348) = ( 714 x 348 ) / 41412

= 714 / 348

= 714

Step2:

LCM(6, 441) = 882

GCD(6, 441) = ( 6 x 441 ) / 882

= 6 / 441

= 6

Step3:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

So, Greatest Common Divisor of 714, 348, 441, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 553, 610, 436
• GCD of 647, 424, 250, 696
• GCD of 878, 401, 695, 864
• GCD of 161, 607, 673, 541
• GCD of 728, 972, 634, 740

Given numbers are 714, 348, 441, 228
The greatest common divisor of numbers 714, 348, 441, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 348, 441, 228 is 3.

1. What is the GCD of 714, 348, 441, 228?

GCD of given numbers 714, 348, 441, 228 is 3

2. How to calculate the greatest common divisor of 714, 348, 441, 228?

We can find the highest common divisor of 714, 348, 441, 228 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 714, 348, 441, 228 i.e 3.

3. How can I use the GCD of 714, 348, 441, 228Calculator?

Out the numbers 714, 348, 441, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.