Greatest Common Factor of 2/81, 94/98, 66/478, 351/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/81, 94/98, 66/478, 351/804

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 2/81,94/98,66/478,351/804

Given fractions are 2/81,94/98,66/478,351/804

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 2,94,66,351

Greatest Common Factor of Numerators i.e. GCF of 2,94,66,351 is 1 .

LCM of Denominators means LCM of 81,98,478,804 as per the given fractions.

LCM of 81,98,478,804 is 254222388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,94,66,351

GCF of Fractions 2/81,94/98,66/478,351/804 is 1/254222388

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

Greatest Common Factor of 2,94,66,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,94,66,351 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 2,94,66,351 . The biggest common factor number is the GCF number.
So the greatest common factor 2,94,66,351 is 1.

Lets's calculate LCM of 81,98,478,804

2 81, 98, 478, 804
3 81, 49, 239, 402
27, 49, 239, 134

∴ So the LCM of the given numbers is 2 x 3 x 27 x 49 x 239 x 134 = 254222388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254222388

Therefore, the GCF of Fractions 2/81,94/98,66/478,351/804 is 1/254222388

Least Common Multiple of 81,98,478,804 with GCF Formula

Least Common Multiple of 81,98,478,804 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 81,98,478,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,98,478,804) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(81,98,478,804) x common factors =1 x 12 = 12

LCM(81,98,478,804) = ( 81 × 98 × 478 × 804 ) / 12

LCM(81,98,478,804) = 3050668656 / 12

LCM(81,98,478,804) = 254222388


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 2/81, 94/98, 66/478, 351/804

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 2/81, 94/98, 66/478, 351/804?

Answer: GCF of Numerators as per given numbers 2/81, 94/98, 66/478, 351/804 is

GCF of Numerators i.e. for 2,94,66,351 is 1

LCM of denominators i.e. for 81,98,478,804 is 254222388.

Thus, GCF of Fractions is 1/254222388.Finally, GCF of Fractions for 2/81, 94/98, 66/478, 351/804 is 1/254222388.