GCD of 333, 700, 988, 821 Calculator

Given Input numbers are 333, 700, 988, 821

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

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

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 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 333, 700, 988, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 333, 700, 988, 821 is 1.

Therefore, GCD of numbers 333, 700, 988, 821 is 1

Given Input Data is 333, 700, 988, 821

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

Prime Factorization of 333 is 3 x 3 x 37

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 821 is 821

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(333, 700) = 233100

GCD(333, 700) = ( 333 x 700 ) / 233100

GCD(333, 700) = 233100 / 233100

GCD(333, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 333, 700, 988, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 950, 698, 332
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• GCD of 414, 581, 497, 402
• GCD of 722, 359, 928, 586

1. What is the GCD of 333, 700, 988, 821?

GCD of 333, 700, 988, 821 is 1

2. Where do I get the detailed procedure to find GCD of 333, 700, 988, 821?

You can find a detailed procedure to find GCD of 333, 700, 988, 821 on our page.

3. How to find GCD of 333, 700, 988, 821 on a calculator?

You can find the GCD of 333, 700, 988, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.