GCD of 140, 688, 814, 228 Calculator

Given Input numbers are 140, 688, 814, 228

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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

Greatest Common Divisior

We found the divisors of 140, 688, 814, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 688, 814, 228 is 2.

Therefore, GCD of numbers 140, 688, 814, 228 is 2

Given Input Data is 140, 688, 814, 228

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 814 is 2 x 11 x 37

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

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(140, 688) = 24080

GCD(140, 688) = ( 140 x 688 ) / 24080

GCD(140, 688) = 96320 / 24080

GCD(140, 688) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 814

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

LCM(4, 814) = 1628

GCD(4, 814) = ( 4 x 814 ) / 1628

GCD(4, 814) = 3256 / 1628

GCD(4, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 140, 688, 814, 228 is 2

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1. What is the GCD of 140, 688, 814, 228?

GCD of 140, 688, 814, 228 is 2

2. Where do I get the detailed procedure to find GCD of 140, 688, 814, 228?

You can find a detailed procedure to find GCD of 140, 688, 814, 228 on our page.

3. How to find GCD of 140, 688, 814, 228 on a calculator?

You can find the GCD of 140, 688, 814, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.