GCD of 733, 228, 88, 345 Calculator

Given Input numbers are 733, 228, 88, 345

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 733, 228, 88, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 228, 88, 345 is 1.

Therefore, GCD of numbers 733, 228, 88, 345 is 1

Given Input Data is 733, 228, 88, 345

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 733 is 733

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 345 is 3 x 5 x 23

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(733, 228) = 167124

GCD(733, 228) = ( 733 x 228 ) / 167124

GCD(733, 228) = 167124 / 167124

GCD(733, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 733, 228, 88, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 147, 56, 626
• GCD of 654, 146, 79, 383
• GCD of 942, 579, 17, 499
• GCD of 875, 936, 41, 733
• GCD of 844, 688, 55, 147

1. What is the GCD of 733, 228, 88, 345?

GCD of 733, 228, 88, 345 is 1

2. Where do I get the detailed procedure to find GCD of 733, 228, 88, 345?

You can find a detailed procedure to find GCD of 733, 228, 88, 345 on our page.

3. How to find GCD of 733, 228, 88, 345 on a calculator?

You can find the GCD of 733, 228, 88, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.