Where do I get the detailed procedure to find GCD of 973, 707, 217?

You can find a detailed procedure to find GCD of 973, 707, 217 on our page.

How to find GCD of 973, 707, 217 on a calculator?

You can find the GCD of 973, 707, 217 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 973, 707, 217 Calculator

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

Online GCD Calculator is useful to find the GCD of 973, 707, 217 quickly. Get the easiest ways to solve the greatest common divisor of 973, 707, 217 i.e 7 in different methods as follows.

How to Find GCD of Numbers 973, 707, 217 with Factoring?

Given Input numbers are 973, 707, 217

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

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

GCD of numbers is the greatest common divisor

So, the GCD (973, 707, 217) = 7.

Find GCD of 973, 707, 217 using Prime Factorization

Given numbers are 973, 707, 217

The list of prime factors of all numbers are

Prime factors of 973 are 7 x 139

Prime factors of 707 are 7 x 101

Prime factors of 217 are 7 x 31

The highest common occurrence is 7¹

Therefore, GCD of 973, 707, 217 is 7.

Steps to Calculate GCD of 973, 707, 217 using LCM Formula

Given numbers are 973, 707, 217

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

Apply this formula for all numbers.

Step1:

LCM(973, 707) = 98273

GCD(973, 707) = ( 973 x 707 ) / 98273

= 973 / 707

= 973

Step2:

LCM(7, 217) = 217

GCD(7, 217) = ( 7 x 217 ) / 217

= 7 / 217

= 7

So, Greatest Common Divisor of 973, 707, 217 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 973, 707, 217

Given numbers are 973, 707, 217
The greatest common divisor of numbers 973, 707, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 973, 707, 217 is 7.

FAQs on GCD of 973, 707, 217 Calculator

1. What is the GCD of 973, 707, 217?

GCD of given numbers 973, 707, 217 is 7

2. How to calculate the greatest common divisor of 973, 707, 217?

We can find the highest common divisor of 973, 707, 217 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 973, 707, 217 i.e 7.

3. How can I use the GCD of 973, 707, 217Calculator?

Out the numbers 973, 707, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.