Where do I get the detailed procedure to find GCD of 180, 160, 870?

You can find a detailed procedure to find GCD of 180, 160, 870 on our page.

How to find GCD of 180, 160, 870 on a calculator?

You can find the GCD of 180, 160, 870 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 180, 160, 870 Calculator

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

Online GCD Calculator is useful to find the GCD of 180, 160, 870 quickly. Get the easiest ways to solve the greatest common divisor of 180, 160, 870 i.e 10 in different methods as follows.

How to Find GCD of Numbers 180, 160, 870 with Factoring?

Given Input numbers are 180, 160, 870

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

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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

GCD of numbers is the greatest common divisor

So, the GCD (180, 160, 870) = 10.

Find GCD of 180, 160, 870 using Prime Factorization

Given numbers are 180, 160, 870

The list of prime factors of all numbers are

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 180, 160, 870 is 10.

Steps to Calculate GCD of 180, 160, 870 using LCM Formula

Given numbers are 180, 160, 870

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

Apply this formula for all numbers.

Step1:

LCM(180, 160) = 1440

GCD(180, 160) = ( 180 x 160 ) / 1440

= 180 / 160

= 180

Step2:

LCM(20, 870) = 1740

GCD(20, 870) = ( 20 x 870 ) / 1740

= 20 / 870

= 20

So, Greatest Common Divisor of 180, 160, 870 is 10

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 180, 160, 870

Given numbers are 180, 160, 870
The greatest common divisor of numbers 180, 160, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 160, 870 is 10.

FAQs on GCD of 180, 160, 870 Calculator

1. What is the GCD of 180, 160, 870?

GCD of given numbers 180, 160, 870 is 10

2. How to calculate the greatest common divisor of 180, 160, 870?

We can find the highest common divisor of 180, 160, 870 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 180, 160, 870 i.e 10.

3. How can I use the GCD of 180, 160, 870Calculator?

Out the numbers 180, 160, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.