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GCD of 200, 830, 303, 842 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, 830, 303, 842 quickly. Get the easiest ways to solve the greatest common divisor of 200, 830, 303, 842 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 200, 830, 303, 842 with Factoring?

Given Input numbers are 200, 830, 303, 842

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 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842


GCD of numbers is the greatest common divisor

So, the GCD (200, 830, 303, 842) = 1.

Find GCD of 200, 830, 303, 842 using Prime Factorization

Given numbers are 200, 830, 303, 842

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 830 are 2 x 5 x 83

Prime factors of 303 are 3 x 101

Prime factors of 842 are 2 x 421

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

Steps to Calculate GCD of 200, 830, 303, 842 using LCM Formula

Given numbers are 200, 830, 303, 842

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

Apply this formula for all numbers.

Step1:

LCM(200, 830) = 16600

GCD(200, 830) = ( 200 x 830 ) / 16600

= 200 / 830

= 200


Step2:

LCM(10, 303) = 3030

GCD(10, 303) = ( 10 x 303 ) / 3030

= 10 / 303

= 10


Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1


So, Greatest Common Divisor of 200, 830, 303, 842 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 200, 830, 303, 842

Given numbers are 200, 830, 303, 842
The greatest common divisor of numbers 200, 830, 303, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 830, 303, 842 is 1.

FAQs on GCD of 200, 830, 303, 842 Calculator

1. What is the GCD of 200, 830, 303, 842?

GCD of given numbers 200, 830, 303, 842 is 1


2. How to calculate the greatest common divisor of 200, 830, 303, 842?

We can find the highest common divisor of 200, 830, 303, 842 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, 830, 303, 842 i.e 1.


3. How can I use the GCD of 200, 830, 303, 842Calculator?

Out the numbers 200, 830, 303, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.