Where do I get the detailed procedure to find GCD of 861, 180, 402?

You can find a detailed procedure to find GCD of 861, 180, 402 on our page.

How to find GCD of 861, 180, 402 on a calculator?

You can find the GCD of 861, 180, 402 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 861, 180, 402 Calculator

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

Online GCD Calculator is useful to find the GCD of 861, 180, 402 quickly. Get the easiest ways to solve the greatest common divisor of 861, 180, 402 i.e 3 in different methods as follows.

How to Find GCD of Numbers 861, 180, 402 with Factoring?

Given Input numbers are 861, 180, 402

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (861, 180, 402) = 3.

Find GCD of 861, 180, 402 using Prime Factorization

Given numbers are 861, 180, 402

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 861, 180, 402 is 3.

Steps to Calculate GCD of 861, 180, 402 using LCM Formula

Given numbers are 861, 180, 402

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

Apply this formula for all numbers.

Step1:

LCM(861, 180) = 51660

GCD(861, 180) = ( 861 x 180 ) / 51660

= 861 / 180

= 861

Step2:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

So, Greatest Common Divisor of 861, 180, 402 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 861, 180, 402

Given numbers are 861, 180, 402
The greatest common divisor of numbers 861, 180, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 180, 402 is 3.

FAQs on GCD of 861, 180, 402 Calculator

1. What is the GCD of 861, 180, 402?

GCD of given numbers 861, 180, 402 is 3

2. How to calculate the greatest common divisor of 861, 180, 402?

We can find the highest common divisor of 861, 180, 402 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 861, 180, 402 i.e 3.

3. How can I use the GCD of 861, 180, 402Calculator?

Out the numbers 861, 180, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.