GCD of 441, 700, 998 Calculator

Given Input numbers are 441, 700, 998

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

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 441, 700, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 700, 998 is 1.

Therefore, GCD of numbers 441, 700, 998 is 1

Given Input Data is 441, 700, 998

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

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 700 is 2 x 2 x 5 x 5 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(441, 700) = 44100

GCD(441, 700) = ( 441 x 700 ) / 44100

GCD(441, 700) = 308700 / 44100

GCD(441, 700) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 998

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

LCM(7, 998) = 6986

GCD(7, 998) = ( 7 x 998 ) / 6986

GCD(7, 998) = 6986 / 6986

GCD(7, 998) = 1

GCD of 441, 700, 998 is 1

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1. What is the GCD of 441, 700, 998?

GCD of 441, 700, 998 is 1

2. Where do I get the detailed procedure to find GCD of 441, 700, 998?

You can find a detailed procedure to find GCD of 441, 700, 998 on our page.

3. How to find GCD of 441, 700, 998 on a calculator?

You can find the GCD of 441, 700, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.