GCD of 142, 114, 100, 300 Calculator

Given Input numbers are 142, 114, 100, 300

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 142, 114, 100, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 114, 100, 300 is 2.

Therefore, GCD of numbers 142, 114, 100, 300 is 2

Given Input Data is 142, 114, 100, 300

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 114 is 2 x 3 x 19

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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(142, 114) = 8094

GCD(142, 114) = ( 142 x 114 ) / 8094

GCD(142, 114) = 16188 / 8094

GCD(142, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

GCD of 142, 114, 100, 300 is 2

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1. What is the GCD of 142, 114, 100, 300?

GCD of 142, 114, 100, 300 is 2

2. Where do I get the detailed procedure to find GCD of 142, 114, 100, 300?

You can find a detailed procedure to find GCD of 142, 114, 100, 300 on our page.

3. How to find GCD of 142, 114, 100, 300 on a calculator?

You can find the GCD of 142, 114, 100, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.