Where do I get the detailed procedure to find GCD of 830, 500, 965?

You can find a detailed procedure to find GCD of 830, 500, 965 on our page.

How to find GCD of 830, 500, 965 on a calculator?

You can find the GCD of 830, 500, 965 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 830, 500, 965 Calculator

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

Online GCD Calculator is useful to find the GCD of 830, 500, 965 quickly. Get the easiest ways to solve the greatest common divisor of 830, 500, 965 i.e 5 in different methods as follows.

How to Find GCD of Numbers 830, 500, 965 with Factoring?

Given Input numbers are 830, 500, 965

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (830, 500, 965) = 5.

Find GCD of 830, 500, 965 using Prime Factorization

Given numbers are 830, 500, 965

The list of prime factors of all numbers are

Prime factors of 830 are 2 x 5 x 83

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 965 are 5 x 193

The highest common occurrence is 5¹

Therefore, GCD of 830, 500, 965 is 5.

Steps to Calculate GCD of 830, 500, 965 using LCM Formula

Given numbers are 830, 500, 965

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

Apply this formula for all numbers.

Step1:

LCM(830, 500) = 41500

GCD(830, 500) = ( 830 x 500 ) / 41500

= 830 / 500

= 830

Step2:

LCM(10, 965) = 1930

GCD(10, 965) = ( 10 x 965 ) / 1930

= 10 / 965

= 10

So, Greatest Common Divisor of 830, 500, 965 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 830, 500, 965

Given numbers are 830, 500, 965
The greatest common divisor of numbers 830, 500, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 500, 965 is 5.

FAQs on GCD of 830, 500, 965 Calculator

1. What is the GCD of 830, 500, 965?

GCD of given numbers 830, 500, 965 is 5

2. How to calculate the greatest common divisor of 830, 500, 965?

We can find the highest common divisor of 830, 500, 965 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 830, 500, 965 i.e 5.

3. How can I use the GCD of 830, 500, 965Calculator?

Out the numbers 830, 500, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.