GCD of 508, 836, 178, 735 Calculator

Given Input numbers are 508, 836, 178, 735

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 508, 836, 178, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 836, 178, 735 is 1.

Therefore, GCD of numbers 508, 836, 178, 735 is 1

Given Input Data is 508, 836, 178, 735

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 178 is 2 x 89

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(508, 836) = 106172

GCD(508, 836) = ( 508 x 836 ) / 106172

GCD(508, 836) = 424688 / 106172

GCD(508, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 178

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

LCM(4, 178) = 356

GCD(4, 178) = ( 4 x 178 ) / 356

GCD(4, 178) = 712 / 356

GCD(4, 178) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 508, 836, 178, 735 is 1

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1. What is the GCD of 508, 836, 178, 735?

GCD of 508, 836, 178, 735 is 1

2. Where do I get the detailed procedure to find GCD of 508, 836, 178, 735?

You can find a detailed procedure to find GCD of 508, 836, 178, 735 on our page.

3. How to find GCD of 508, 836, 178, 735 on a calculator?

You can find the GCD of 508, 836, 178, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.