GCD of 750, 986, 21 Calculator

Given Input numbers are 750, 986, 21

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 750, 986, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 986, 21 is 1.

Therefore, GCD of numbers 750, 986, 21 is 1

Given Input Data is 750, 986, 21

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 21 is 3 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(750, 986) = 369750

GCD(750, 986) = ( 750 x 986 ) / 369750

GCD(750, 986) = 739500 / 369750

GCD(750, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

GCD of 750, 986, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 557, 19
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• GCD of 371, 462, 23
• GCD of 556, 217, 24

1. What is the GCD of 750, 986, 21?

GCD of 750, 986, 21 is 1

2. Where do I get the detailed procedure to find GCD of 750, 986, 21?

You can find a detailed procedure to find GCD of 750, 986, 21 on our page.

3. How to find GCD of 750, 986, 21 on a calculator?

You can find the GCD of 750, 986, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.