GCD of 700, 636, 228, 494 Calculator

Given Input numbers are 700, 636, 228, 494

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

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 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 700, 636, 228, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 636, 228, 494 is 2.

Therefore, GCD of numbers 700, 636, 228, 494 is 2

Given Input Data is 700, 636, 228, 494

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 636 is 2 x 2 x 3 x 53

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

Prime Factorization of 494 is 2 x 13 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(700, 636) = 111300

GCD(700, 636) = ( 700 x 636 ) / 111300

GCD(700, 636) = 445200 / 111300

GCD(700, 636) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 228

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

LCM(4, 228) = 228

GCD(4, 228) = ( 4 x 228 ) / 228

GCD(4, 228) = 912 / 228

GCD(4, 228) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 494

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

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

GCD(4, 494) = 1976 / 988

GCD(4, 494) = 2

GCD of 700, 636, 228, 494 is 2

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1. What is the GCD of 700, 636, 228, 494?

GCD of 700, 636, 228, 494 is 2

2. Where do I get the detailed procedure to find GCD of 700, 636, 228, 494?

You can find a detailed procedure to find GCD of 700, 636, 228, 494 on our page.

3. How to find GCD of 700, 636, 228, 494 on a calculator?

You can find the GCD of 700, 636, 228, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.