Where do I get the detailed procedure to find GCD of 564, 880, 10?

You can find a detailed procedure to find GCD of 564, 880, 10 on our page.

How to find GCD of 564, 880, 10 on a calculator?

You can find the GCD of 564, 880, 10 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 564, 880, 10 Calculator

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

Online GCD Calculator is useful to find the GCD of 564, 880, 10 quickly. Get the easiest ways to solve the greatest common divisor of 564, 880, 10 i.e 2 in different methods as follows.

How to Find GCD of Numbers 564, 880, 10 with Factoring?

Given Input numbers are 564, 880, 10

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

GCD of numbers is the greatest common divisor

So, the GCD (564, 880, 10) = 2.

Find GCD of 564, 880, 10 using Prime Factorization

Given numbers are 564, 880, 10

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 10 are 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 564, 880, 10 is 2.

Steps to Calculate GCD of 564, 880, 10 using LCM Formula

Given numbers are 564, 880, 10

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

Apply this formula for all numbers.

Step1:

LCM(564, 880) = 124080

GCD(564, 880) = ( 564 x 880 ) / 124080

= 564 / 880

= 564

Step2:

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

= 4 / 10

= 4

So, Greatest Common Divisor of 564, 880, 10 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 564, 880, 10

Given numbers are 564, 880, 10
The greatest common divisor of numbers 564, 880, 10 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 880, 10 is 2.

FAQs on GCD of 564, 880, 10 Calculator

1. What is the GCD of 564, 880, 10?

GCD of given numbers 564, 880, 10 is 2

2. How to calculate the greatest common divisor of 564, 880, 10?

We can find the highest common divisor of 564, 880, 10 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 564, 880, 10 i.e 2.

3. How can I use the GCD of 564, 880, 10Calculator?

Out the numbers 564, 880, 10 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.