Where do I get the detailed procedure to find GCD of 114, 150, 862?

You can find a detailed procedure to find GCD of 114, 150, 862 on our page.

How to find GCD of 114, 150, 862 on a calculator?

You can find the GCD of 114, 150, 862 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, 150, 862 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, 150, 862 quickly. Get the easiest ways to solve the greatest common divisor of 114, 150, 862 i.e 2 in different methods as follows.

How to Find GCD of Numbers 114, 150, 862 with Factoring?

Given Input numbers are 114, 150, 862

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

GCD of numbers is the greatest common divisor

So, the GCD (114, 150, 862) = 2.

Find GCD of 114, 150, 862 using Prime Factorization

Given numbers are 114, 150, 862

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 862 are 2 x 431

The highest common occurrence is 2¹

Therefore, GCD of 114, 150, 862 is 2.

Steps to Calculate GCD of 114, 150, 862 using LCM Formula

Given numbers are 114, 150, 862

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

Apply this formula for all numbers.

Step1:

LCM(114, 150) = 2850

GCD(114, 150) = ( 114 x 150 ) / 2850

= 114 / 150

= 114

Step2:

LCM(6, 862) = 2586

GCD(6, 862) = ( 6 x 862 ) / 2586

= 6 / 862

= 6

So, Greatest Common Divisor of 114, 150, 862 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 114, 150, 862

Given numbers are 114, 150, 862
The greatest common divisor of numbers 114, 150, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 150, 862 is 2.

FAQs on GCD of 114, 150, 862 Calculator

1. What is the GCD of 114, 150, 862?

GCD of given numbers 114, 150, 862 is 2

2. How to calculate the greatest common divisor of 114, 150, 862?

We can find the highest common divisor of 114, 150, 862 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, 150, 862 i.e 2.

3. How can I use the GCD of 114, 150, 862Calculator?

Out the numbers 114, 150, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.