Greatest Common Factor of 88/287, 112/848, 452/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/287, 112/848, 452/994

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 88/287,112/848,452/994

Given fractions are 88/287,112/848,452/994

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 88,112,452

Greatest Common Factor of Numerators i.e. GCF of 88,112,452 is 4 .

LCM of Denominators means LCM of 287,848,994 as per the given fractions.

LCM of 287,848,994 is 17279696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,112,452

GCF of Fractions 88/287,112/848,452/994 is 4/17279696

2 88, 112, 452
2 44, 56, 226
22, 28, 113

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 88,112,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,112,452 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 88,112,452 . The biggest common factor number is the GCF number.
So the greatest common factor 88,112,452 is 4.

Lets's calculate LCM of 287,848,994

2 287, 848, 994
7 287, 424, 497
41, 424, 71

∴ So the LCM of the given numbers is 2 x 7 x 41 x 424 x 71 = 17279696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17279696

Therefore, the GCF of Fractions 88/287,112/848,452/994 is 4/17279696

Least Common Multiple of 287,848,994 with GCF Formula

Least Common Multiple of 287,848,994 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 287,848,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,848,994) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(287,848,994) x common factors =1 x 14 = 14

LCM(287,848,994) = ( 287 × 848 × 994 ) / 14

LCM(287,848,994) = 241915744 / 14

LCM(287,848,994) = 17279696


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 88/287, 112/848, 452/994

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 88/287, 112/848, 452/994?

Answer: GCF of Numerators as per given numbers 88/287, 112/848, 452/994 is

GCF of Numerators i.e. for 88,112,452 is 4

LCM of denominators i.e. for 287,848,994 is 17279696.

Thus, GCF of Fractions is 4/17279696.Finally, GCF of Fractions for 88/287, 112/848, 452/994 is 4/17279696.