GCD of 298, 904, 32, 677 Calculator

Given Input numbers are 298, 904, 32, 677

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

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 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 298, 904, 32, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 904, 32, 677 is 1.

Therefore, GCD of numbers 298, 904, 32, 677 is 1

Given Input Data is 298, 904, 32, 677

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

Prime Factorization of 298 is 2 x 149

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 677 is 677

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(298, 904) = 134696

GCD(298, 904) = ( 298 x 904 ) / 134696

GCD(298, 904) = 269392 / 134696

GCD(298, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 677

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

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

GCD(2, 677) = 1354 / 1354

GCD(2, 677) = 1

GCD of 298, 904, 32, 677 is 1

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1. What is the GCD of 298, 904, 32, 677?

GCD of 298, 904, 32, 677 is 1

2. Where do I get the detailed procedure to find GCD of 298, 904, 32, 677?

You can find a detailed procedure to find GCD of 298, 904, 32, 677 on our page.

3. How to find GCD of 298, 904, 32, 677 on a calculator?

You can find the GCD of 298, 904, 32, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.