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GCD of 201, 693, 303, 267 Calculator

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


Online GCD Calculator is useful to find the GCD of 201, 693, 303, 267 quickly. Get the easiest ways to solve the greatest common divisor of 201, 693, 303, 267 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 201, 693, 303, 267 with Factoring?

Given Input numbers are 201, 693, 303, 267

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

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 303 :

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

1, 3, 101, 303

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267


GCD of numbers is the greatest common divisor

So, the GCD (201, 693, 303, 267) = 3.

Find GCD of 201, 693, 303, 267 using Prime Factorization

Given numbers are 201, 693, 303, 267

The list of prime factors of all numbers are

Prime factors of 201 are 3 x 67

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 303 are 3 x 101

Prime factors of 267 are 3 x 89

The highest common occurrence is 31

Therefore, GCD of 201, 693, 303, 267 is 3.

Steps to Calculate GCD of 201, 693, 303, 267 using LCM Formula

Given numbers are 201, 693, 303, 267

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

Apply this formula for all numbers.

Step1:

LCM(201, 693) = 46431

GCD(201, 693) = ( 201 x 693 ) / 46431

= 201 / 693

= 201


Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3


Step3:

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

= 3 / 267

= 3


So, Greatest Common Divisor of 201, 693, 303, 267 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 201, 693, 303, 267

Given numbers are 201, 693, 303, 267
The greatest common divisor of numbers 201, 693, 303, 267 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 693, 303, 267 is 3.

FAQs on GCD of 201, 693, 303, 267 Calculator

1. What is the GCD of 201, 693, 303, 267?

GCD of given numbers 201, 693, 303, 267 is 3


2. How to calculate the greatest common divisor of 201, 693, 303, 267?

We can find the highest common divisor of 201, 693, 303, 267 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 201, 693, 303, 267 i.e 3.


3. How can I use the GCD of 201, 693, 303, 267Calculator?

Out the numbers 201, 693, 303, 267 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.