Greatest Common Factor of 9927/440, 5578/9642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9927/440, 5578/9642

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 9927/440,5578/9642

Given fractions are 9927/440,5578/9642

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 9927,5578

Greatest Common Factor of Numerators i.e. GCF of 9927,5578 is 1 .

LCM of Denominators means LCM of 440,9642 as per the given fractions.

LCM of 440,9642 is 2121240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9927,5578

GCF of Fractions 9927/440,5578/9642 is 1/2121240

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

Greatest Common Factor of 9927,5578 By Matching Biggest Common Factor Method

Greatest Common Factor of 9927,5578 By Matching Biggest Common Factor Method

Factors of 9927

List of positive integer factors of 9927 that divides 9927 without a remainder.

1,3,9,1103,3309,9927

Factors of 5578

List of positive integer factors of 5578 that divides 5578 without a remainder.

1,2,2789,5578

Greatest Common Factor

We found the factors 9927,5578 . The biggest common factor number is the GCF number.
So the greatest common factor 9927,5578 is 1.

Lets's calculate LCM of 440,9642

2 440, 9642
220, 4821

∴ So the LCM of the given numbers is 2 x 220 x 4821 = 2121240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2121240

Therefore, the GCF of Fractions 9927/440,5578/9642 is 1/2121240

Least Common Multiple of 440,9642 with GCF Formula

Least Common Multiple of 440,9642 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 440,9642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,9642) = 2

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

GCF(440,9642) x common factors =2 x 1 = 2

LCM(440,9642) = ( 440 × 9642 ) / 2

LCM(440,9642) = 4242480 / 2

LCM(440,9642) = 2121240


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 9927/440, 5578/9642

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 9927/440, 5578/9642?

Answer: GCF of Numerators as per given numbers 9927/440, 5578/9642 is

GCF of Numerators i.e. for 9927,5578 is 1

LCM of denominators i.e. for 440,9642 is 2121240.

Thus, GCF of Fractions is 1/2121240.Finally, GCF of Fractions for 9927/440, 5578/9642 is 1/2121240.