Where do I get the detailed procedure to find GCD of 237, 660, 45?

You can find a detailed procedure to find GCD of 237, 660, 45 on our page.

How to find GCD of 237, 660, 45 on a calculator?

You can find the GCD of 237, 660, 45 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 237, 660, 45 Calculator

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

Online GCD Calculator is useful to find the GCD of 237, 660, 45 quickly. Get the easiest ways to solve the greatest common divisor of 237, 660, 45 i.e 3 in different methods as follows.

How to Find GCD of Numbers 237, 660, 45 with Factoring?

Given Input numbers are 237, 660, 45

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

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

GCD of numbers is the greatest common divisor

So, the GCD (237, 660, 45) = 3.

Find GCD of 237, 660, 45 using Prime Factorization

Given numbers are 237, 660, 45

The list of prime factors of all numbers are

Prime factors of 237 are 3 x 79

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 45 are 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 237, 660, 45 is 3.

Steps to Calculate GCD of 237, 660, 45 using LCM Formula

Given numbers are 237, 660, 45

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

Apply this formula for all numbers.

Step1:

LCM(237, 660) = 52140

GCD(237, 660) = ( 237 x 660 ) / 52140

= 237 / 660

= 237

Step2:

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

= 3 / 45

= 3

So, Greatest Common Divisor of 237, 660, 45 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 237, 660, 45

Given numbers are 237, 660, 45
The greatest common divisor of numbers 237, 660, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 660, 45 is 3.

FAQs on GCD of 237, 660, 45 Calculator

1. What is the GCD of 237, 660, 45?

GCD of given numbers 237, 660, 45 is 3

2. How to calculate the greatest common divisor of 237, 660, 45?

We can find the highest common divisor of 237, 660, 45 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 237, 660, 45 i.e 3.

3. How can I use the GCD of 237, 660, 45Calculator?

Out the numbers 237, 660, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.