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GCD of 829, 500, 196 Calculator

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

Online GCD Calculator is useful to find the GCD of 829, 500, 196 quickly. Get the easiest ways to solve the greatest common divisor of 829, 500, 196 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 829, 500, 196 with Factoring?

Given Input numbers are 829, 500, 196

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

Divisors of 829 :

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

1, 829

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196


GCD of numbers is the greatest common divisor

So, the GCD (829, 500, 196) = 1.

Find GCD of 829, 500, 196 using Prime Factorization

Given numbers are 829, 500, 196

The list of prime factors of all numbers are

Prime factors of 829 are 829

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

Prime factors of 196 are 2 x 2 x 7 x 7

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

Steps to Calculate GCD of 829, 500, 196 using LCM Formula

Given numbers are 829, 500, 196

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

Apply this formula for all numbers.

Step1:

LCM(829, 500) = 414500

GCD(829, 500) = ( 829 x 500 ) / 414500

= 829 / 500

= 829

Step2:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1


So, Greatest Common Divisor of 829, 500, 196 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 829, 500, 196

Given numbers are 829, 500, 196
The greatest common divisor of numbers 829, 500, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 500, 196 is 1.

FAQs on GCD of 829, 500, 196 Calculator

1. What is the GCD of 829, 500, 196?

GCD of given numbers 829, 500, 196 is 1

2. How to calculate the greatest common divisor of 829, 500, 196?

We can find the highest common divisor of 829, 500, 196 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 829, 500, 196 i.e 1.

3. How can I use the GCD of 829, 500, 196Calculator?

Out the numbers 829, 500, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.