Where do I get the detailed procedure to find GCD of 196, 315, 644?

You can find a detailed procedure to find GCD of 196, 315, 644 on our page.

How to find GCD of 196, 315, 644 on a calculator?

You can find the GCD of 196, 315, 644 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 196, 315, 644 Calculator

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

Online GCD Calculator is useful to find the GCD of 196, 315, 644 quickly. Get the easiest ways to solve the greatest common divisor of 196, 315, 644 i.e 7 in different methods as follows.

How to Find GCD of Numbers 196, 315, 644 with Factoring?

Given Input numbers are 196, 315, 644

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

Divisors of 196 :

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

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (196, 315, 644) = 7.

Find GCD of 196, 315, 644 using Prime Factorization

Given numbers are 196, 315, 644

The list of prime factors of all numbers are

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 7¹

Therefore, GCD of 196, 315, 644 is 7.

Steps to Calculate GCD of 196, 315, 644 using LCM Formula

Given numbers are 196, 315, 644

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

Apply this formula for all numbers.

Step1:

LCM(196, 315) = 8820

GCD(196, 315) = ( 196 x 315 ) / 8820

= 196 / 315

= 196

Step2:

LCM(7, 644) = 644

GCD(7, 644) = ( 7 x 644 ) / 644

= 7 / 644

= 7

So, Greatest Common Divisor of 196, 315, 644 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 196, 315, 644

Given numbers are 196, 315, 644
The greatest common divisor of numbers 196, 315, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 315, 644 is 7.

FAQs on GCD of 196, 315, 644 Calculator

1. What is the GCD of 196, 315, 644?

GCD of given numbers 196, 315, 644 is 7

2. How to calculate the greatest common divisor of 196, 315, 644?

We can find the highest common divisor of 196, 315, 644 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 196, 315, 644 i.e 7.

3. How can I use the GCD of 196, 315, 644Calculator?

Out the numbers 196, 315, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.