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GCD of 200, 213, 207, 699 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, 213, 207, 699 quickly. Get the easiest ways to solve the greatest common divisor of 200, 213, 207, 699 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 200, 213, 207, 699 with Factoring?

Given Input numbers are 200, 213, 207, 699

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699


GCD of numbers is the greatest common divisor

So, the GCD (200, 213, 207, 699) = 1.

Find GCD of 200, 213, 207, 699 using Prime Factorization

Given numbers are 200, 213, 207, 699

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 213 are 3 x 71

Prime factors of 207 are 3 x 3 x 23

Prime factors of 699 are 3 x 233

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

Steps to Calculate GCD of 200, 213, 207, 699 using LCM Formula

Given numbers are 200, 213, 207, 699

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

Apply this formula for all numbers.

Step1:

LCM(200, 213) = 42600

GCD(200, 213) = ( 200 x 213 ) / 42600

= 200 / 213

= 200


Step2:

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

= 1 / 207

= 1


Step3:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1


So, Greatest Common Divisor of 200, 213, 207, 699 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 200, 213, 207, 699

Given numbers are 200, 213, 207, 699
The greatest common divisor of numbers 200, 213, 207, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 213, 207, 699 is 1.

FAQs on GCD of 200, 213, 207, 699 Calculator

1. What is the GCD of 200, 213, 207, 699?

GCD of given numbers 200, 213, 207, 699 is 1


2. How to calculate the greatest common divisor of 200, 213, 207, 699?

We can find the highest common divisor of 200, 213, 207, 699 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, 213, 207, 699 i.e 1.


3. How can I use the GCD of 200, 213, 207, 699Calculator?

Out the numbers 200, 213, 207, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.