Greatest Common Factor of 44/798, 60/408, 988/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/798, 60/408, 988/912

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 44/798,60/408,988/912

Given fractions are 44/798,60/408,988/912

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 44,60,988

Greatest Common Factor of Numerators i.e. GCF of 44,60,988 is 4 .

LCM of Denominators means LCM of 798,408,912 as per the given fractions.

LCM of 798,408,912 is 108528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,60,988

GCF of Fractions 44/798,60/408,988/912 is 4/108528

2 44, 60, 988
2 22, 30, 494
11, 15, 247

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

Greatest Common Factor of 44,60,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,60,988 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 44,60,988 . The biggest common factor number is the GCF number.
So the greatest common factor 44,60,988 is 4.

Lets's calculate LCM of 798,408,912

2 798, 408, 912
2 399, 204, 456
2 399, 102, 228
3 399, 51, 114
19 133, 17, 38
7, 17, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 7 x 17 x 2 = 108528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/108528

Therefore, the GCF of Fractions 44/798,60/408,988/912 is 4/108528

Least Common Multiple of 798,408,912 with GCF Formula

Least Common Multiple of 798,408,912 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 798,408,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,408,912) = 6

common factors(in case of two or more numbers have common factors) = 456

GCF(798,408,912) x common factors =6 x 456 = 2736

LCM(798,408,912) = ( 798 × 408 × 912 ) / 2736

LCM(798,408,912) = 296932608 / 2736

LCM(798,408,912) = 108528


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 44/798, 60/408, 988/912

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 44/798, 60/408, 988/912?

Answer: GCF of Numerators as per given numbers 44/798, 60/408, 988/912 is

GCF of Numerators i.e. for 44,60,988 is 4

LCM of denominators i.e. for 798,408,912 is 108528.

Thus, GCF of Fractions is 4/108528.Finally, GCF of Fractions for 44/798, 60/408, 988/912 is 4/108528.