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GCD of 965, 500, 829 Calculator

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

Online GCD Calculator is useful to find the GCD of 965, 500, 829 quickly. Get the easiest ways to solve the greatest common divisor of 965, 500, 829 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 965, 500, 829 with Factoring?

Given Input numbers are 965, 500, 829

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

Divisors of 965 :

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

1, 5, 193, 965

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 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829


GCD of numbers is the greatest common divisor

So, the GCD (965, 500, 829) = 1.

Find GCD of 965, 500, 829 using Prime Factorization

Given numbers are 965, 500, 829

The list of prime factors of all numbers are

Prime factors of 965 are 5 x 193

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

Prime factors of 829 are 829

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 965, 500, 829 using LCM Formula

Given numbers are 965, 500, 829

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

Apply this formula for all numbers.

Step1:

LCM(965, 500) = 96500

GCD(965, 500) = ( 965 x 500 ) / 96500

= 965 / 500

= 965

Step2:

LCM(5, 829) = 4145

GCD(5, 829) = ( 5 x 829 ) / 4145

= 5 / 829

= 5


So, Greatest Common Divisor of 965, 500, 829 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 965, 500, 829

Given numbers are 965, 500, 829
The greatest common divisor of numbers 965, 500, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 500, 829 is 1.

FAQs on GCD of 965, 500, 829 Calculator

1. What is the GCD of 965, 500, 829?

GCD of given numbers 965, 500, 829 is 1

2. How to calculate the greatest common divisor of 965, 500, 829?

We can find the highest common divisor of 965, 500, 829 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 965, 500, 829 i.e 1.

3. How can I use the GCD of 965, 500, 829Calculator?

Out the numbers 965, 500, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.