GCD of 748, 323, 687, 228 Calculator

Given Input numbers are 748, 323, 687, 228

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

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 (748, 323, 687, 228) = 1.

Given numbers are 748, 323, 687, 228

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 323 are 17 x 19

Prime factors of 687 are 3 x 229

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

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

Given numbers are 748, 323, 687, 228

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

Apply this formula for all numbers.

Step1:

LCM(748, 323) = 14212

GCD(748, 323) = ( 748 x 323 ) / 14212

= 748 / 323

= 748

Step2:

LCM(17, 687) = 11679

GCD(17, 687) = ( 17 x 687 ) / 11679

= 17 / 687

= 17

Step3:

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

= 1 / 228

= 1

So, Greatest Common Divisor of 748, 323, 687, 228 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 493, 744, 820
• GCD of 919, 181, 903, 865
• GCD of 281, 161, 344, 121
• GCD of 315, 551, 901, 170
• GCD of 918, 604, 646, 993

Given numbers are 748, 323, 687, 228
The greatest common divisor of numbers 748, 323, 687, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 323, 687, 228 is 1.

1. What is the GCD of 748, 323, 687, 228?

GCD of given numbers 748, 323, 687, 228 is 1

2. How to calculate the greatest common divisor of 748, 323, 687, 228?

We can find the highest common divisor of 748, 323, 687, 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 748, 323, 687, 228 i.e 1.

3. How can I use the GCD of 748, 323, 687, 228Calculator?

Out the numbers 748, 323, 687, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.