Greatest Common Factor of 8383/86, 7802/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8383/86, 7802/296

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 8383/86,7802/296

Given fractions are 8383/86,7802/296

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 8383,7802

Greatest Common Factor of Numerators i.e. GCF of 8383,7802 is 83 .

LCM of Denominators means LCM of 86,296 as per the given fractions.

LCM of 86,296 is 12728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8383,7802

GCF of Fractions 8383/86,7802/296 is 83/12728

83 8383, 7802
101, 94

∴ So the GCF of the given numbers is 83 = 83

Greatest Common Factor of 8383,7802 By Matching Biggest Common Factor Method

Greatest Common Factor of 8383,7802 By Matching Biggest Common Factor Method

Factors of 8383

List of positive integer factors of 8383 that divides 8383 without a remainder.

1,83,101,8383

Factors of 7802

List of positive integer factors of 7802 that divides 7802 without a remainder.

1,2,47,83,94,166,3901,7802

Greatest Common Factor

We found the factors 8383,7802 . The biggest common factor number is the GCF number.
So the greatest common factor 8383,7802 is 83.

Lets's calculate LCM of 86,296

2 86, 296
43, 148

∴ So the LCM of the given numbers is 2 x 43 x 148 = 12728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/12728

Therefore, the GCF of Fractions 8383/86,7802/296 is 83/12728

Least Common Multiple of 86,296 with GCF Formula

Least Common Multiple of 86,296 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 86,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,296) = 2

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

GCF(86,296) x common factors =2 x 1 = 2

LCM(86,296) = ( 86 × 296 ) / 2

LCM(86,296) = 25456 / 2

LCM(86,296) = 12728


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 8383/86, 7802/296

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 8383/86, 7802/296?

Answer: GCF of Numerators as per given numbers 8383/86, 7802/296 is

GCF of Numerators i.e. for 8383,7802 is 83

LCM of denominators i.e. for 86,296 is 12728.

Thus, GCF of Fractions is 83/12728.Finally, GCF of Fractions for 8383/86, 7802/296 is 83/12728.