Where do I get the detailed procedure to find GCD of 370, 662, 66?

You can find a detailed procedure to find GCD of 370, 662, 66 on our page.

How to find GCD of 370, 662, 66 on a calculator?

You can find the GCD of 370, 662, 66 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 370, 662, 66 Calculator

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

Online GCD Calculator is useful to find the GCD of 370, 662, 66 quickly. Get the easiest ways to solve the greatest common divisor of 370, 662, 66 i.e 2 in different methods as follows.

How to Find GCD of Numbers 370, 662, 66 with Factoring?

Given Input numbers are 370, 662, 66

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

GCD of numbers is the greatest common divisor

So, the GCD (370, 662, 66) = 2.

Find GCD of 370, 662, 66 using Prime Factorization

Given numbers are 370, 662, 66

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 662 are 2 x 331

Prime factors of 66 are 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 370, 662, 66 is 2.

Steps to Calculate GCD of 370, 662, 66 using LCM Formula

Given numbers are 370, 662, 66

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

Apply this formula for all numbers.

Step1:

LCM(370, 662) = 122470

GCD(370, 662) = ( 370 x 662 ) / 122470

= 370 / 662

= 370

Step2:

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

= 2 / 66

= 2

So, Greatest Common Divisor of 370, 662, 66 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 370, 662, 66

Given numbers are 370, 662, 66
The greatest common divisor of numbers 370, 662, 66 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 662, 66 is 2.

FAQs on GCD of 370, 662, 66 Calculator

1. What is the GCD of 370, 662, 66?

GCD of given numbers 370, 662, 66 is 2

2. How to calculate the greatest common divisor of 370, 662, 66?

We can find the highest common divisor of 370, 662, 66 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 370, 662, 66 i.e 2.

3. How can I use the GCD of 370, 662, 66Calculator?

Out the numbers 370, 662, 66 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.