Where do I get the detailed procedure to find GCD of 800, 625, 280?

You can find a detailed procedure to find GCD of 800, 625, 280 on our page.

How to find GCD of 800, 625, 280 on a calculator?

You can find the GCD of 800, 625, 280 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 800, 625, 280 Calculator

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

Online GCD Calculator is useful to find the GCD of 800, 625, 280 quickly. Get the easiest ways to solve the greatest common divisor of 800, 625, 280 i.e 5 in different methods as follows.

How to Find GCD of Numbers 800, 625, 280 with Factoring?

Given Input numbers are 800, 625, 280

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (800, 625, 280) = 5.

Find GCD of 800, 625, 280 using Prime Factorization

Given numbers are 800, 625, 280

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 800, 625, 280 is 5.

Steps to Calculate GCD of 800, 625, 280 using LCM Formula

Given numbers are 800, 625, 280

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

Apply this formula for all numbers.

Step1:

LCM(800, 625) = 20000

GCD(800, 625) = ( 800 x 625 ) / 20000

= 800 / 625

= 800

Step2:

LCM(25, 280) = 1400

GCD(25, 280) = ( 25 x 280 ) / 1400

= 25 / 280

= 25

So, Greatest Common Divisor of 800, 625, 280 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 800, 625, 280

Given numbers are 800, 625, 280
The greatest common divisor of numbers 800, 625, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 625, 280 is 5.

FAQs on GCD of 800, 625, 280 Calculator

1. What is the GCD of 800, 625, 280?

GCD of given numbers 800, 625, 280 is 5

2. How to calculate the greatest common divisor of 800, 625, 280?

We can find the highest common divisor of 800, 625, 280 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 800, 625, 280 i.e 5.

3. How can I use the GCD of 800, 625, 280Calculator?

Out the numbers 800, 625, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.