GCD of 798, 100, 210, 132 Calculator

Given Input numbers are 798, 100, 210, 132

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 798, 100, 210, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 100, 210, 132 is 2.

Therefore, GCD of numbers 798, 100, 210, 132 is 2

Given Input Data is 798, 100, 210, 132

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 132 is 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(798, 100) = 39900

GCD(798, 100) = ( 798 x 100 ) / 39900

GCD(798, 100) = 79800 / 39900

GCD(798, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 798, 100, 210, 132 is 2

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1. What is the GCD of 798, 100, 210, 132?

GCD of 798, 100, 210, 132 is 2

2. Where do I get the detailed procedure to find GCD of 798, 100, 210, 132?

You can find a detailed procedure to find GCD of 798, 100, 210, 132 on our page.

3. How to find GCD of 798, 100, 210, 132 on a calculator?

You can find the GCD of 798, 100, 210, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.