Greatest Common Factor of 5203/384, 8267/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5203/384, 8267/252

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 5203/384,8267/252

Given fractions are 5203/384,8267/252

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 5203,8267

Greatest Common Factor of Numerators i.e. GCF of 5203,8267 is 1 .

LCM of Denominators means LCM of 384,252 as per the given fractions.

LCM of 384,252 is 8064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5203,8267

GCF of Fractions 5203/384,8267/252 is 1/8064

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5203,8267 By Matching Biggest Common Factor Method

Greatest Common Factor of 5203,8267 By Matching Biggest Common Factor Method

Factors of 5203

List of positive integer factors of 5203 that divides 5203 without a remainder.

1,11,43,121,473,5203

Factors of 8267

List of positive integer factors of 8267 that divides 8267 without a remainder.

1,7,1181,8267

Greatest Common Factor

We found the factors 5203,8267 . The biggest common factor number is the GCF number.
So the greatest common factor 5203,8267 is 1.

Lets's calculate LCM of 384,252

2 384, 252
2 192, 126
3 96, 63
32, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 32 x 21 = 8064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8064

Therefore, the GCF of Fractions 5203/384,8267/252 is 1/8064

Least Common Multiple of 384,252 with GCF Formula

Least Common Multiple of 384,252 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 384,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,252) = 12

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

GCF(384,252) x common factors =12 x 1 = 12

LCM(384,252) = ( 384 × 252 ) / 12

LCM(384,252) = 96768 / 12

LCM(384,252) = 8064


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 5203/384, 8267/252

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 5203/384, 8267/252?

Answer: GCF of Numerators as per given numbers 5203/384, 8267/252 is

GCF of Numerators i.e. for 5203,8267 is 1

LCM of denominators i.e. for 384,252 is 8064.

Thus, GCF of Fractions is 1/8064.Finally, GCF of Fractions for 5203/384, 8267/252 is 1/8064.