Greatest Common Factor of 7816/488, 9720/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7816/488, 9720/730

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 7816/488,9720/730

Given fractions are 7816/488,9720/730

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 7816,9720

Greatest Common Factor of Numerators i.e. GCF of 7816,9720 is 8 .

LCM of Denominators means LCM of 488,730 as per the given fractions.

LCM of 488,730 is 178120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7816,9720

GCF of Fractions 7816/488,9720/730 is 8/178120

2 7816, 9720
2 3908, 4860
2 1954, 2430
977, 1215

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7816,9720 By Matching Biggest Common Factor Method

Greatest Common Factor of 7816,9720 By Matching Biggest Common Factor Method

Factors of 7816

List of positive integer factors of 7816 that divides 7816 without a remainder.

1,2,4,8,977,1954,3908,7816

Factors of 9720

List of positive integer factors of 9720 that divides 9720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720

Greatest Common Factor

We found the factors 7816,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 7816,9720 is 8.

Lets's calculate LCM of 488,730

2 488, 730
244, 365

∴ So the LCM of the given numbers is 2 x 244 x 365 = 178120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/178120

Therefore, the GCF of Fractions 7816/488,9720/730 is 8/178120

Least Common Multiple of 488,730 with GCF Formula

Least Common Multiple of 488,730 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 488,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,730) = 2

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

GCF(488,730) x common factors =2 x 1 = 2

LCM(488,730) = ( 488 × 730 ) / 2

LCM(488,730) = 356240 / 2

LCM(488,730) = 178120


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 7816/488, 9720/730

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 7816/488, 9720/730?

Answer: GCF of Numerators as per given numbers 7816/488, 9720/730 is

GCF of Numerators i.e. for 7816,9720 is 8

LCM of denominators i.e. for 488,730 is 178120.

Thus, GCF of Fractions is 8/178120.Finally, GCF of Fractions for 7816/488, 9720/730 is 8/178120.