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GCD of 490, 242, 321, 294 Calculator

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


Online GCD Calculator is useful to find the GCD of 490, 242, 321, 294 quickly. Get the easiest ways to solve the greatest common divisor of 490, 242, 321, 294 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 490, 242, 321, 294 with Factoring?

Given Input numbers are 490, 242, 321, 294

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

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294


GCD of numbers is the greatest common divisor

So, the GCD (490, 242, 321, 294) = 1.

Find GCD of 490, 242, 321, 294 using Prime Factorization

Given numbers are 490, 242, 321, 294

The list of prime factors of all numbers are

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

Prime factors of 242 are 2 x 11 x 11

Prime factors of 321 are 3 x 107

Prime factors of 294 are 2 x 3 x 7 x 7

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

Steps to Calculate GCD of 490, 242, 321, 294 using LCM Formula

Given numbers are 490, 242, 321, 294

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

Apply this formula for all numbers.

Step1:

LCM(490, 242) = 59290

GCD(490, 242) = ( 490 x 242 ) / 59290

= 490 / 242

= 490


Step2:

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

= 2 / 321

= 2


Step3:

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

= 1 / 294

= 1


So, Greatest Common Divisor of 490, 242, 321, 294 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 490, 242, 321, 294

Given numbers are 490, 242, 321, 294
The greatest common divisor of numbers 490, 242, 321, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 242, 321, 294 is 1.

FAQs on GCD of 490, 242, 321, 294 Calculator

1. What is the GCD of 490, 242, 321, 294?

GCD of given numbers 490, 242, 321, 294 is 1


2. How to calculate the greatest common divisor of 490, 242, 321, 294?

We can find the highest common divisor of 490, 242, 321, 294 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 490, 242, 321, 294 i.e 1.


3. How can I use the GCD of 490, 242, 321, 294Calculator?

Out the numbers 490, 242, 321, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.