Where do I get the detailed procedure to find GCD of 220, 990, 745?

You can find a detailed procedure to find GCD of 220, 990, 745 on our page.

How to find GCD of 220, 990, 745 on a calculator?

You can find the GCD of 220, 990, 745 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 220, 990, 745 Calculator

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

Online GCD Calculator is useful to find the GCD of 220, 990, 745 quickly. Get the easiest ways to solve the greatest common divisor of 220, 990, 745 i.e 5 in different methods as follows.

How to Find GCD of Numbers 220, 990, 745 with Factoring?

Given Input numbers are 220, 990, 745

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (220, 990, 745) = 5.

Find GCD of 220, 990, 745 using Prime Factorization

Given numbers are 220, 990, 745

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 745 are 5 x 149

The highest common occurrence is 5¹

Therefore, GCD of 220, 990, 745 is 5.

Steps to Calculate GCD of 220, 990, 745 using LCM Formula

Given numbers are 220, 990, 745

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

Apply this formula for all numbers.

Step1:

LCM(220, 990) = 1980

GCD(220, 990) = ( 220 x 990 ) / 1980

= 220 / 990

= 220

Step2:

LCM(110, 745) = 16390

GCD(110, 745) = ( 110 x 745 ) / 16390

= 110 / 745

= 110

So, Greatest Common Divisor of 220, 990, 745 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 220, 990, 745

Given numbers are 220, 990, 745
The greatest common divisor of numbers 220, 990, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 990, 745 is 5.

FAQs on GCD of 220, 990, 745 Calculator

1. What is the GCD of 220, 990, 745?

GCD of given numbers 220, 990, 745 is 5

2. How to calculate the greatest common divisor of 220, 990, 745?

We can find the highest common divisor of 220, 990, 745 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 220, 990, 745 i.e 5.

3. How can I use the GCD of 220, 990, 745Calculator?

Out the numbers 220, 990, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.