GCD of 748, 228, 70, 888 Calculator

Given Input numbers are 748, 228, 70, 888

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

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

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 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Greatest Common Divisior

We found the divisors of 748, 228, 70, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 228, 70, 888 is 2.

Therefore, GCD of numbers 748, 228, 70, 888 is 2

Given Input Data is 748, 228, 70, 888

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(748, 228) = 42636

GCD(748, 228) = ( 748 x 228 ) / 42636

GCD(748, 228) = 170544 / 42636

GCD(748, 228) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 70

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

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

GCD(4, 70) = 280 / 140

GCD(4, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 888

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

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

GCD(2, 888) = 1776 / 888

GCD(2, 888) = 2

GCD of 748, 228, 70, 888 is 2

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1. What is the GCD of 748, 228, 70, 888?

GCD of 748, 228, 70, 888 is 2

2. Where do I get the detailed procedure to find GCD of 748, 228, 70, 888?

You can find a detailed procedure to find GCD of 748, 228, 70, 888 on our page.

3. How to find GCD of 748, 228, 70, 888 on a calculator?

You can find the GCD of 748, 228, 70, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.