Greatest Common Factor of 5327/244, 7823/7299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5327/244, 7823/7299

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 5327/244,7823/7299

Given fractions are 5327/244,7823/7299

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 5327,7823

Greatest Common Factor of Numerators i.e. GCF of 5327,7823 is 1 .

LCM of Denominators means LCM of 244,7299 as per the given fractions.

LCM of 244,7299 is 1780956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5327,7823

GCF of Fractions 5327/244,7823/7299 is 1/1780956

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

Greatest Common Factor of 5327,7823 By Matching Biggest Common Factor Method

Greatest Common Factor of 5327,7823 By Matching Biggest Common Factor Method

Factors of 5327

List of positive integer factors of 5327 that divides 5327 without a remainder.

1,7,761,5327

Factors of 7823

List of positive integer factors of 7823 that divides 7823 without a remainder.

1,7823

Greatest Common Factor

We found the factors 5327,7823 . The biggest common factor number is the GCF number.
So the greatest common factor 5327,7823 is 1.

Lets's calculate LCM of 244,7299

Given numbers has no common factors except 1. So, there LCM is their product i.e 1780956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1780956

Therefore, the GCF of Fractions 5327/244,7823/7299 is 1/1780956

Least Common Multiple of 244,7299 with GCF Formula

Least Common Multiple of 244,7299 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 244,7299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,7299) = 1

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

GCF(244,7299) x common factors =1 x 1 = 1

LCM(244,7299) = ( 244 × 7299 ) / 1

LCM(244,7299) = 1780956 / 1

LCM(244,7299) = 1780956


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 5327/244, 7823/7299

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 5327/244, 7823/7299?

Answer: GCF of Numerators as per given numbers 5327/244, 7823/7299 is

GCF of Numerators i.e. for 5327,7823 is 1

LCM of denominators i.e. for 244,7299 is 1780956.

Thus, GCF of Fractions is 1/1780956.Finally, GCF of Fractions for 5327/244, 7823/7299 is 1/1780956.