GCD of 757, 449, 84, 998 Calculator

Given Input numbers are 757, 449, 84, 998

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

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 757, 449, 84, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 449, 84, 998 is 1.

Therefore, GCD of numbers 757, 449, 84, 998 is 1

Given Input Data is 757, 449, 84, 998

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

Prime Factorization of 757 is 757

Prime Factorization of 449 is 449

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 998 is 2 x 499

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(757, 449) = 339893

GCD(757, 449) = ( 757 x 449 ) / 339893

GCD(757, 449) = 339893 / 339893

GCD(757, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 757, 449, 84, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 936, 88, 437
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• GCD of 333, 910, 76, 495
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• GCD of 594, 584, 63, 770

1. What is the GCD of 757, 449, 84, 998?

GCD of 757, 449, 84, 998 is 1

2. Where do I get the detailed procedure to find GCD of 757, 449, 84, 998?

You can find a detailed procedure to find GCD of 757, 449, 84, 998 on our page.

3. How to find GCD of 757, 449, 84, 998 on a calculator?

You can find the GCD of 757, 449, 84, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.