Greatest Common Factor of 9228/145, 4220/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9228/145, 4220/696

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 9228/145,4220/696

Given fractions are 9228/145,4220/696

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 9228,4220

Greatest Common Factor of Numerators i.e. GCF of 9228,4220 is 4 .

LCM of Denominators means LCM of 145,696 as per the given fractions.

LCM of 145,696 is 3480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9228,4220

GCF of Fractions 9228/145,4220/696 is 4/3480

2 9228, 4220
2 4614, 2110
2307, 1055

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

Greatest Common Factor of 9228,4220 By Matching Biggest Common Factor Method

Greatest Common Factor of 9228,4220 By Matching Biggest Common Factor Method

Factors of 9228

List of positive integer factors of 9228 that divides 9228 without a remainder.

1,2,3,4,6,12,769,1538,2307,3076,4614,9228

Factors of 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1,2,4,5,10,20,211,422,844,1055,2110,4220

Greatest Common Factor

We found the factors 9228,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 9228,4220 is 4.

Lets's calculate LCM of 145,696

29 145, 696
5, 24

∴ So the LCM of the given numbers is 29 x 5 x 24 = 3480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3480

Therefore, the GCF of Fractions 9228/145,4220/696 is 4/3480

Least Common Multiple of 145,696 with GCF Formula

Least Common Multiple of 145,696 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 145,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,696) = 29

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

GCF(145,696) x common factors =29 x 1 = 29

LCM(145,696) = ( 145 × 696 ) / 29

LCM(145,696) = 100920 / 29

LCM(145,696) = 3480


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 9228/145, 4220/696

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 9228/145, 4220/696?

Answer: GCF of Numerators as per given numbers 9228/145, 4220/696 is

GCF of Numerators i.e. for 9228,4220 is 4

LCM of denominators i.e. for 145,696 is 3480.

Thus, GCF of Fractions is 4/3480.Finally, GCF of Fractions for 9228/145, 4220/696 is 4/3480.