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GCD of 206, 498, 267, 490 Calculator

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


Online GCD Calculator is useful to find the GCD of 206, 498, 267, 490 quickly. Get the easiest ways to solve the greatest common divisor of 206, 498, 267, 490 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 206, 498, 267, 490 with Factoring?

Given Input numbers are 206, 498, 267, 490

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

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 267 :

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

1, 3, 89, 267

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490


GCD of numbers is the greatest common divisor

So, the GCD (206, 498, 267, 490) = 1.

Find GCD of 206, 498, 267, 490 using Prime Factorization

Given numbers are 206, 498, 267, 490

The list of prime factors of all numbers are

Prime factors of 206 are 2 x 103

Prime factors of 498 are 2 x 3 x 83

Prime factors of 267 are 3 x 89

Prime factors of 490 are 2 x 5 x 7 x 7

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

Steps to Calculate GCD of 206, 498, 267, 490 using LCM Formula

Given numbers are 206, 498, 267, 490

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

Apply this formula for all numbers.

Step1:

LCM(206, 498) = 51294

GCD(206, 498) = ( 206 x 498 ) / 51294

= 206 / 498

= 206


Step2:

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

= 2 / 267

= 2


Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1


So, Greatest Common Divisor of 206, 498, 267, 490 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 206, 498, 267, 490

Given numbers are 206, 498, 267, 490
The greatest common divisor of numbers 206, 498, 267, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 206, 498, 267, 490 is 1.

FAQs on GCD of 206, 498, 267, 490 Calculator

1. What is the GCD of 206, 498, 267, 490?

GCD of given numbers 206, 498, 267, 490 is 1


2. How to calculate the greatest common divisor of 206, 498, 267, 490?

We can find the highest common divisor of 206, 498, 267, 490 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 206, 498, 267, 490 i.e 1.


3. How can I use the GCD of 206, 498, 267, 490Calculator?

Out the numbers 206, 498, 267, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.