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GCD of 200, 696, 912, 335 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, 696, 912, 335 quickly. Get the easiest ways to solve the greatest common divisor of 200, 696, 912, 335 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 200, 696, 912, 335 with Factoring?

Given Input numbers are 200, 696, 912, 335

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 335 :

The positive integer divisors of 335 that completely divides 335 are.

1, 5, 67, 335


GCD of numbers is the greatest common divisor

So, the GCD (200, 696, 912, 335) = 1.

Find GCD of 200, 696, 912, 335 using Prime Factorization

Given numbers are 200, 696, 912, 335

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 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 335 are 5 x 67

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

Steps to Calculate GCD of 200, 696, 912, 335 using LCM Formula

Given numbers are 200, 696, 912, 335

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

Apply this formula for all numbers.

Step1:

LCM(200, 696) = 17400

GCD(200, 696) = ( 200 x 696 ) / 17400

= 200 / 696

= 200


Step2:

LCM(8, 912) = 912

GCD(8, 912) = ( 8 x 912 ) / 912

= 8 / 912

= 8


Step3:

LCM(8, 335) = 2680

GCD(8, 335) = ( 8 x 335 ) / 2680

= 8 / 335

= 8


So, Greatest Common Divisor of 200, 696, 912, 335 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 200, 696, 912, 335

Given numbers are 200, 696, 912, 335
The greatest common divisor of numbers 200, 696, 912, 335 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 696, 912, 335 is 1.

FAQs on GCD of 200, 696, 912, 335 Calculator

1. What is the GCD of 200, 696, 912, 335?

GCD of given numbers 200, 696, 912, 335 is 1


2. How to calculate the greatest common divisor of 200, 696, 912, 335?

We can find the highest common divisor of 200, 696, 912, 335 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, 696, 912, 335 i.e 1.


3. How can I use the GCD of 200, 696, 912, 335Calculator?

Out the numbers 200, 696, 912, 335 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.