GCD of 836, 904, 88, 748 Calculator

Given Input numbers are 836, 904, 88, 748

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

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 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

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 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

Greatest Common Divisior

We found the divisors of 836, 904, 88, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 904, 88, 748 is 4.

Therefore, GCD of numbers 836, 904, 88, 748 is 4

Given Input Data is 836, 904, 88, 748

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

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

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

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(836, 904) = 188936

GCD(836, 904) = ( 836 x 904 ) / 188936

GCD(836, 904) = 755744 / 188936

GCD(836, 904) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 88

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

LCM(4, 88) = 88

GCD(4, 88) = ( 4 x 88 ) / 88

GCD(4, 88) = 352 / 88

GCD(4, 88) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 748

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

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

GCD(4, 748) = 2992 / 748

GCD(4, 748) = 4

GCD of 836, 904, 88, 748 is 4

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1. What is the GCD of 836, 904, 88, 748?

GCD of 836, 904, 88, 748 is 4

2. Where do I get the detailed procedure to find GCD of 836, 904, 88, 748?

You can find a detailed procedure to find GCD of 836, 904, 88, 748 on our page.

3. How to find GCD of 836, 904, 88, 748 on a calculator?

You can find the GCD of 836, 904, 88, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.