Greatest Common Factor of 7966/428, 8500/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7966/428, 8500/184

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 7966/428,8500/184

Given fractions are 7966/428,8500/184

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 7966,8500

Greatest Common Factor of Numerators i.e. GCF of 7966,8500 is 2 .

LCM of Denominators means LCM of 428,184 as per the given fractions.

LCM of 428,184 is 19688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7966,8500

GCF of Fractions 7966/428,8500/184 is 2/19688

2 7966, 8500
3983, 4250

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

Greatest Common Factor of 7966,8500 By Matching Biggest Common Factor Method

Greatest Common Factor of 7966,8500 By Matching Biggest Common Factor Method

Factors of 7966

List of positive integer factors of 7966 that divides 7966 without a remainder.

1,2,7,14,569,1138,3983,7966

Factors of 8500

List of positive integer factors of 8500 that divides 8500 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500

Greatest Common Factor

We found the factors 7966,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 7966,8500 is 2.

Lets's calculate LCM of 428,184

2 428, 184
2 214, 92
107, 46

∴ So the LCM of the given numbers is 2 x 2 x 107 x 46 = 19688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19688

Therefore, the GCF of Fractions 7966/428,8500/184 is 2/19688

Least Common Multiple of 428,184 with GCF Formula

Least Common Multiple of 428,184 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 428,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,184) = 4

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

GCF(428,184) x common factors =4 x 1 = 4

LCM(428,184) = ( 428 × 184 ) / 4

LCM(428,184) = 78752 / 4

LCM(428,184) = 19688


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 7966/428, 8500/184

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 7966/428, 8500/184?

Answer: GCF of Numerators as per given numbers 7966/428, 8500/184 is

GCF of Numerators i.e. for 7966,8500 is 2

LCM of denominators i.e. for 428,184 is 19688.

Thus, GCF of Fractions is 2/19688.Finally, GCF of Fractions for 7966/428, 8500/184 is 2/19688.