Greatest Common Factor of 7285/82, 8272/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7285/82, 8272/993

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 7285/82,8272/993

Given fractions are 7285/82,8272/993

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 7285,8272

Greatest Common Factor of Numerators i.e. GCF of 7285,8272 is 47 .

LCM of Denominators means LCM of 82,993 as per the given fractions.

LCM of 82,993 is 81426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7285,8272

GCF of Fractions 7285/82,8272/993 is 47/81426

47 7285, 8272
155, 176

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 7285,8272 By Matching Biggest Common Factor Method

Greatest Common Factor of 7285,8272 By Matching Biggest Common Factor Method

Factors of 7285

List of positive integer factors of 7285 that divides 7285 without a remainder.

1,5,31,47,155,235,1457,7285

Factors of 8272

List of positive integer factors of 8272 that divides 8272 without a remainder.

1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272

Greatest Common Factor

We found the factors 7285,8272 . The biggest common factor number is the GCF number.
So the greatest common factor 7285,8272 is 47.

Lets's calculate LCM of 82,993

Given numbers has no common factors except 1. So, there LCM is their product i.e 81426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/81426

Therefore, the GCF of Fractions 7285/82,8272/993 is 47/81426

Least Common Multiple of 82,993 with GCF Formula

Least Common Multiple of 82,993 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 82,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,993) = 1

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

GCF(82,993) x common factors =1 x 1 = 1

LCM(82,993) = ( 82 × 993 ) / 1

LCM(82,993) = 81426 / 1

LCM(82,993) = 81426


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 7285/82, 8272/993

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 7285/82, 8272/993?

Answer: GCF of Numerators as per given numbers 7285/82, 8272/993 is

GCF of Numerators i.e. for 7285,8272 is 47

LCM of denominators i.e. for 82,993 is 81426.

Thus, GCF of Fractions is 47/81426.Finally, GCF of Fractions for 7285/82, 8272/993 is 47/81426.