Where do I get the detailed procedure to find GCD of 114, 870, 200?

You can find a detailed procedure to find GCD of 114, 870, 200 on our page.

How to find GCD of 114, 870, 200 on a calculator?

You can find the GCD of 114, 870, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 114, 870, 200 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 114, 870, 200 quickly. Get the easiest ways to solve the greatest common divisor of 114, 870, 200 i.e 2 in different methods as follows.

How to Find GCD of Numbers 114, 870, 200 with Factoring?

Given Input numbers are 114, 870, 200

In the factoring method, we have to find the divisors of all numbers

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (114, 870, 200) = 2.

Find GCD of 114, 870, 200 using Prime Factorization

Given numbers are 114, 870, 200

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 114, 870, 200 is 2.

Steps to Calculate GCD of 114, 870, 200 using LCM Formula

Given numbers are 114, 870, 200

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(114, 870) = 16530

GCD(114, 870) = ( 114 x 870 ) / 16530

= 114 / 870

= 114

Step2:

LCM(6, 200) = 600

GCD(6, 200) = ( 6 x 200 ) / 600

= 6 / 200

= 6

So, Greatest Common Divisor of 114, 870, 200 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 114, 870, 200

Given numbers are 114, 870, 200
The greatest common divisor of numbers 114, 870, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 870, 200 is 2.

FAQs on GCD of 114, 870, 200 Calculator

1. What is the GCD of 114, 870, 200?

GCD of given numbers 114, 870, 200 is 2

2. How to calculate the greatest common divisor of 114, 870, 200?

We can find the highest common divisor of 114, 870, 200 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 114, 870, 200 i.e 2.

3. How can I use the GCD of 114, 870, 200Calculator?

Out the numbers 114, 870, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.