Where do I get the detailed procedure to find GCD of 605, 535, 920?

You can find a detailed procedure to find GCD of 605, 535, 920 on our page.

How to find GCD of 605, 535, 920 on a calculator?

You can find the GCD of 605, 535, 920 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 605, 535, 920 Calculator

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

Online GCD Calculator is useful to find the GCD of 605, 535, 920 quickly. Get the easiest ways to solve the greatest common divisor of 605, 535, 920 i.e 5 in different methods as follows.

How to Find GCD of Numbers 605, 535, 920 with Factoring?

Given Input numbers are 605, 535, 920

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

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (605, 535, 920) = 5.

Find GCD of 605, 535, 920 using Prime Factorization

Given numbers are 605, 535, 920

The list of prime factors of all numbers are

Prime factors of 605 are 5 x 11 x 11

Prime factors of 535 are 5 x 107

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 5¹

Therefore, GCD of 605, 535, 920 is 5.

Steps to Calculate GCD of 605, 535, 920 using LCM Formula

Given numbers are 605, 535, 920

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

Apply this formula for all numbers.

Step1:

LCM(605, 535) = 64735

GCD(605, 535) = ( 605 x 535 ) / 64735

= 605 / 535

= 605

Step2:

LCM(5, 920) = 920

GCD(5, 920) = ( 5 x 920 ) / 920

= 5 / 920

= 5

So, Greatest Common Divisor of 605, 535, 920 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 605, 535, 920

Given numbers are 605, 535, 920
The greatest common divisor of numbers 605, 535, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 605, 535, 920 is 5.

FAQs on GCD of 605, 535, 920 Calculator

1. What is the GCD of 605, 535, 920?

GCD of given numbers 605, 535, 920 is 5

2. How to calculate the greatest common divisor of 605, 535, 920?

We can find the highest common divisor of 605, 535, 920 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 605, 535, 920 i.e 5.

3. How can I use the GCD of 605, 535, 920Calculator?

Out the numbers 605, 535, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.