Where do I get the detailed procedure to find GCD of 200, 977, 217?

You can find a detailed procedure to find GCD of 200, 977, 217 on our page.

How to find GCD of 200, 977, 217 on a calculator?

You can find the GCD of 200, 977, 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 200, 977, 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 200, 977, 217 quickly. Get the easiest ways to solve the greatest common divisor of 200, 977, 217 i.e 1 in different methods as follows.

How to Find GCD of Numbers 200, 977, 217 with Factoring?

Given Input numbers are 200, 977, 217

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

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 (200, 977, 217) = 1.

Find GCD of 200, 977, 217 using Prime Factorization

Given numbers are 200, 977, 217

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 977 are 977

Prime factors of 217 are 7 x 31

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

Steps to Calculate GCD of 200, 977, 217 using LCM Formula

Given numbers are 200, 977, 217

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

Apply this formula for all numbers.

Step1:

LCM(200, 977) = 195400

GCD(200, 977) = ( 200 x 977 ) / 195400

= 200 / 977

= 200

Step2:

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

= 1 / 217

= 1

So, Greatest Common Divisor of 200, 977, 217 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 200, 977, 217

Given numbers are 200, 977, 217
The greatest common divisor of numbers 200, 977, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 977, 217 is 1.

FAQs on GCD of 200, 977, 217 Calculator

1. What is the GCD of 200, 977, 217?

GCD of given numbers 200, 977, 217 is 1

2. How to calculate the greatest common divisor of 200, 977, 217?

We can find the highest common divisor of 200, 977, 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 200, 977, 217 i.e 1.

3. How can I use the GCD of 200, 977, 217Calculator?

Out the numbers 200, 977, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.