GCD of 704, 158, 61, 808 Calculator

Given Input numbers are 704, 158, 61, 808

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 704, 158, 61, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 158, 61, 808 is 1.

Therefore, GCD of numbers 704, 158, 61, 808 is 1

Given Input Data is 704, 158, 61, 808

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 158 is 2 x 79

Prime Factorization of 61 is 61

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(704, 158) = 55616

GCD(704, 158) = ( 704 x 158 ) / 55616

GCD(704, 158) = 111232 / 55616

GCD(704, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 704, 158, 61, 808 is 1

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1. What is the GCD of 704, 158, 61, 808?

GCD of 704, 158, 61, 808 is 1

2. Where do I get the detailed procedure to find GCD of 704, 158, 61, 808?

You can find a detailed procedure to find GCD of 704, 158, 61, 808 on our page.

3. How to find GCD of 704, 158, 61, 808 on a calculator?

You can find the GCD of 704, 158, 61, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.