Greatest Common Factor of 5761/248, 4718/7073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5761/248, 4718/7073

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 5761/248,4718/7073

Given fractions are 5761/248,4718/7073

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 5761,4718

Greatest Common Factor of Numerators i.e. GCF of 5761,4718 is 7 .

LCM of Denominators means LCM of 248,7073 as per the given fractions.

LCM of 248,7073 is 1754104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5761,4718

GCF of Fractions 5761/248,4718/7073 is 7/1754104

7 5761, 4718
823, 674

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5761,4718 By Matching Biggest Common Factor Method

Greatest Common Factor of 5761,4718 By Matching Biggest Common Factor Method

Factors of 5761

List of positive integer factors of 5761 that divides 5761 without a remainder.

1,7,823,5761

Factors of 4718

List of positive integer factors of 4718 that divides 4718 without a remainder.

1,2,7,14,337,674,2359,4718

Greatest Common Factor

We found the factors 5761,4718 . The biggest common factor number is the GCF number.
So the greatest common factor 5761,4718 is 7.

Lets's calculate LCM of 248,7073

Given numbers has no common factors except 1. So, there LCM is their product i.e 1754104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1754104

Therefore, the GCF of Fractions 5761/248,4718/7073 is 7/1754104

Least Common Multiple of 248,7073 with GCF Formula

Least Common Multiple of 248,7073 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 248,7073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,7073) = 1

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

GCF(248,7073) x common factors =1 x 1 = 1

LCM(248,7073) = ( 248 × 7073 ) / 1

LCM(248,7073) = 1754104 / 1

LCM(248,7073) = 1754104


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 5761/248, 4718/7073

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 5761/248, 4718/7073?

Answer: GCF of Numerators as per given numbers 5761/248, 4718/7073 is

GCF of Numerators i.e. for 5761,4718 is 7

LCM of denominators i.e. for 248,7073 is 1754104.

Thus, GCF of Fractions is 7/1754104.Finally, GCF of Fractions for 5761/248, 4718/7073 is 7/1754104.