GCD of 498, 704, 45, 898 Calculator

Given Input numbers are 498, 704, 45, 898

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 498, 704, 45, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 704, 45, 898 is 1.

Therefore, GCD of numbers 498, 704, 45, 898 is 1

Given Input Data is 498, 704, 45, 898

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

Prime Factorization of 498 is 2 x 3 x 83

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 898 is 2 x 449

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(498, 704) = 175296

GCD(498, 704) = ( 498 x 704 ) / 175296

GCD(498, 704) = 350592 / 175296

GCD(498, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 498, 704, 45, 898 is 1

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1. What is the GCD of 498, 704, 45, 898?

GCD of 498, 704, 45, 898 is 1

2. Where do I get the detailed procedure to find GCD of 498, 704, 45, 898?

You can find a detailed procedure to find GCD of 498, 704, 45, 898 on our page.

3. How to find GCD of 498, 704, 45, 898 on a calculator?

You can find the GCD of 498, 704, 45, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.