GCD of 704, 185, 74, 647 Calculator

Given Input numbers are 704, 185, 74, 647

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 704, 185, 74, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 185, 74, 647 is 1.

Therefore, GCD of numbers 704, 185, 74, 647 is 1

Given Input Data is 704, 185, 74, 647

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 185 is 5 x 37

Prime Factorization of 74 is 2 x 37

Prime Factorization of 647 is 647

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, 185) = 130240

GCD(704, 185) = ( 704 x 185 ) / 130240

GCD(704, 185) = 130240 / 130240

GCD(704, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 704, 185, 74, 647 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 431, 86, 810
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• GCD of 887, 289, 75, 323

1. What is the GCD of 704, 185, 74, 647?

GCD of 704, 185, 74, 647 is 1

2. Where do I get the detailed procedure to find GCD of 704, 185, 74, 647?

You can find a detailed procedure to find GCD of 704, 185, 74, 647 on our page.

3. How to find GCD of 704, 185, 74, 647 on a calculator?

You can find the GCD of 704, 185, 74, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.