GCD of 608, 821, 41, 748 Calculator

Given Input numbers are 608, 821, 41, 748

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 608, 821, 41, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 821, 41, 748 is 1.

Therefore, GCD of numbers 608, 821, 41, 748 is 1

Given Input Data is 608, 821, 41, 748

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 821 is 821

Prime Factorization of 41 is 41

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

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(608, 821) = 499168

GCD(608, 821) = ( 608 x 821 ) / 499168

GCD(608, 821) = 499168 / 499168

GCD(608, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 608, 821, 41, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 682, 33, 229
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• GCD of 295, 848, 31, 718

1. What is the GCD of 608, 821, 41, 748?

GCD of 608, 821, 41, 748 is 1

2. Where do I get the detailed procedure to find GCD of 608, 821, 41, 748?

You can find a detailed procedure to find GCD of 608, 821, 41, 748 on our page.

3. How to find GCD of 608, 821, 41, 748 on a calculator?

You can find the GCD of 608, 821, 41, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.