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Greatest Common Factor of 44/260, 99/9315

Get help with finding GCF of fractions 44/260, 99/9315 using GCF of Fractions Calculator to know the result 11/484380 the largest number that divides all the numbers with a zero remainder.

Greatest common factor (GCF) of 44/260, 99/9315 is 11/484380.

GCF(44/260, 99/9315) = 11/484380

GCF of 44/260, 99/9315

Enter two or more fractions separated by "commas"

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

GCF of:

Given fractions are 44/260,99/9315

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 44,99

Greatest Common Factor of Numerators i.e. GCF of 44,99 is 11 .

LCM of Denominators means LCM of 260,9315 as per the given fractions.

LCM of 260,9315 is 484380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,99

Greatest Common Factor (GCF) of 44,99 By Common Division

11 44, 99
4, 9

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 44,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,99 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 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Greatest Common Factor

We found the factors 44,99 . The biggest common factor number is the GCF number.
So the greatest common factor 44,99 is 11.


Lets's calculate LCM of 260,9315

Least Common Multiple (LCM) of 260,9315 By Common Division

5 260, 9315
52, 1863

∴ So the LCM of the given numbers is 5 x 52 x 1863 = 484380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/484380

Therefore, the GCF of Fractions 44/260,99/9315 is 11/484380

Least Common Multiple of 260,9315 with GCF Formula

Least Common Multiple of 260,9315 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 260,9315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,9315) = 5

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

GCF(260,9315) x common factors =5 x 1 = 5

LCM(260,9315) = ( 260 × 9315 ) / 5

LCM(260,9315) = 2421900 / 5

LCM(260,9315) = 484380


GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 44/260, 99/9315

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 44/260, 99/9315?

Answer: GCF of Numerators as per given numbers 44/260, 99/9315 is

GCF of Numerators i.e. for 44,99 is 11

LCM of denominators i.e. for 260,9315 is 484380.

Thus, GCF of Fractions is 11/484380.Finally, GCF of Fractions for 44/260, 99/9315 is 11/484380.