Greatest Common Factor of 8814/529, 9240/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8814/529, 9240/444

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 8814/529,9240/444

Given fractions are 8814/529,9240/444

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 8814,9240

Greatest Common Factor of Numerators i.e. GCF of 8814,9240 is 6 .

LCM of Denominators means LCM of 529,444 as per the given fractions.

LCM of 529,444 is 234876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8814,9240

GCF of Fractions 8814/529,9240/444 is 6/234876

2 8814, 9240
3 4407, 4620
1469, 1540

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8814,9240 By Matching Biggest Common Factor Method

Greatest Common Factor of 8814,9240 By Matching Biggest Common Factor Method

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

Factors of 9240

List of positive integer factors of 9240 that divides 9240 without a remainder.

1,2,3,4,5,6,7,8,10,11,12,14,15,20,21,22,24,28,30,33,35,40,42,44,55,56,60,66,70,77,84,88,105,110,120,132,140,154,165,168,210,220,231,264,280,308,330,385,420,440,462,616,660,770,840,924,1155,1320,1540,1848,2310,3080,4620,9240

Greatest Common Factor

We found the factors 8814,9240 . The biggest common factor number is the GCF number.
So the greatest common factor 8814,9240 is 6.

Lets's calculate LCM of 529,444

Given numbers has no common factors except 1. So, there LCM is their product i.e 234876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/234876

Therefore, the GCF of Fractions 8814/529,9240/444 is 6/234876

Least Common Multiple of 529,444 with GCF Formula

Least Common Multiple of 529,444 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 529,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,444) = 1

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

GCF(529,444) x common factors =1 x 1 = 1

LCM(529,444) = ( 529 × 444 ) / 1

LCM(529,444) = 234876 / 1

LCM(529,444) = 234876


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 8814/529, 9240/444

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 8814/529, 9240/444?

Answer: GCF of Numerators as per given numbers 8814/529, 9240/444 is

GCF of Numerators i.e. for 8814,9240 is 6

LCM of denominators i.e. for 529,444 is 234876.

Thus, GCF of Fractions is 6/234876.Finally, GCF of Fractions for 8814/529, 9240/444 is 6/234876.