Greatest Common Factor of 8820/225, 9328/719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8820/225, 9328/719

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 8820/225,9328/719

Given fractions are 8820/225,9328/719

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 8820,9328

Greatest Common Factor of Numerators i.e. GCF of 8820,9328 is 4 .

LCM of Denominators means LCM of 225,719 as per the given fractions.

LCM of 225,719 is 161775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8820,9328

GCF of Fractions 8820/225,9328/719 is 4/161775

2 8820, 9328
2 4410, 4664
2205, 2332

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

Greatest Common Factor of 8820,9328 By Matching Biggest Common Factor Method

Greatest Common Factor of 8820,9328 By Matching Biggest Common Factor Method

Factors of 8820

List of positive integer factors of 8820 that divides 8820 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820

Factors of 9328

List of positive integer factors of 9328 that divides 9328 without a remainder.

1,2,4,8,11,16,22,44,53,88,106,176,212,424,583,848,1166,2332,4664,9328

Greatest Common Factor

We found the factors 8820,9328 . The biggest common factor number is the GCF number.
So the greatest common factor 8820,9328 is 4.

Lets's calculate LCM of 225,719

Given numbers has no common factors except 1. So, there LCM is their product i.e 161775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/161775

Therefore, the GCF of Fractions 8820/225,9328/719 is 4/161775

Least Common Multiple of 225,719 with GCF Formula

Least Common Multiple of 225,719 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 225,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,719) = 1

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

GCF(225,719) x common factors =1 x 1 = 1

LCM(225,719) = ( 225 × 719 ) / 1

LCM(225,719) = 161775 / 1

LCM(225,719) = 161775


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 8820/225, 9328/719

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 8820/225, 9328/719?

Answer: GCF of Numerators as per given numbers 8820/225, 9328/719 is

GCF of Numerators i.e. for 8820,9328 is 4

LCM of denominators i.e. for 225,719 is 161775.

Thus, GCF of Fractions is 4/161775.Finally, GCF of Fractions for 8820/225, 9328/719 is 4/161775.