Greatest Common Factor of 490/661, 379/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 490/661, 379/418

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 490/661,379/418

Given fractions are 490/661,379/418

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 490,379

Greatest Common Factor of Numerators i.e. GCF of 490,379 is 1 .

LCM of Denominators means LCM of 661,418 as per the given fractions.

LCM of 661,418 is 276298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 490,379

GCF of Fractions 490/661,379/418 is 1/276298

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 490,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,379 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

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

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 490,379 . The biggest common factor number is the GCF number.
So the greatest common factor 490,379 is 1.

Lets's calculate LCM of 661,418

Given numbers has no common factors except 1. So, there LCM is their product i.e 276298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276298

Therefore, the GCF of Fractions 490/661,379/418 is 1/276298

Least Common Multiple of 661,418 with GCF Formula

Least Common Multiple of 661,418 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 661,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,418) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(661,418) x common factors =1 x 1 = 1

LCM(661,418) = ( 661 × 418 ) / 1

LCM(661,418) = 276298 / 1

LCM(661,418) = 276298


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 490/661, 379/418

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 490/661, 379/418?

Answer: GCF of Numerators as per given numbers 490/661, 379/418 is

GCF of Numerators i.e. for 490,379 is 1

LCM of denominators i.e. for 661,418 is 276298.

Thus, GCF of Fractions is 1/276298.Finally, GCF of Fractions for 490/661, 379/418 is 1/276298.