GCD of 74, 904, 802, 643 Calculator

Given Input numbers are 74, 904, 802, 643

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

Divisors of 74

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

1, 2, 37, 74

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 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 74, 904, 802, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 904, 802, 643 is 1.

Therefore, GCD of numbers 74, 904, 802, 643 is 1

Given Input Data is 74, 904, 802, 643

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

Prime Factorization of 74 is 2 x 37

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 643 is 643

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(74, 904) = 33448

GCD(74, 904) = ( 74 x 904 ) / 33448

GCD(74, 904) = 66896 / 33448

GCD(74, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 643

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

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

GCD(2, 643) = 1286 / 1286

GCD(2, 643) = 1

GCD of 74, 904, 802, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 560, 121, 247
• GCD of 34, 740, 617, 340
• GCD of 19, 909, 234, 819
• GCD of 33, 188, 531, 419
• GCD of 42, 725, 793, 690

1. What is the GCD of 74, 904, 802, 643?

GCD of 74, 904, 802, 643 is 1

2. Where do I get the detailed procedure to find GCD of 74, 904, 802, 643?

You can find a detailed procedure to find GCD of 74, 904, 802, 643 on our page.

3. How to find GCD of 74, 904, 802, 643 on a calculator?

You can find the GCD of 74, 904, 802, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.