GCD of 49, 721, 498, 294 Calculator

Given Input numbers are 49, 721, 498, 294

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 49, 721, 498, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 721, 498, 294 is 1.

Therefore, GCD of numbers 49, 721, 498, 294 is 1

Given Input Data is 49, 721, 498, 294

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 721 is 7 x 103

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(49, 721) = 5047

GCD(49, 721) = ( 49 x 721 ) / 5047

GCD(49, 721) = 35329 / 5047

GCD(49, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 498

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

LCM(7, 498) = 3486

GCD(7, 498) = ( 7 x 498 ) / 3486

GCD(7, 498) = 3486 / 3486

GCD(7, 498) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 49, 721, 498, 294 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 303, 158, 298
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• GCD of 92, 800, 616, 824
• GCD of 84, 953, 499, 703
• GCD of 71, 712, 945, 367

1. What is the GCD of 49, 721, 498, 294?

GCD of 49, 721, 498, 294 is 1

2. Where do I get the detailed procedure to find GCD of 49, 721, 498, 294?

You can find a detailed procedure to find GCD of 49, 721, 498, 294 on our page.

3. How to find GCD of 49, 721, 498, 294 on a calculator?

You can find the GCD of 49, 721, 498, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.