Greatest Common Factor of 5688/41, 7744/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5688/41, 7744/383

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 5688/41,7744/383

Given fractions are 5688/41,7744/383

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 5688,7744

Greatest Common Factor of Numerators i.e. GCF of 5688,7744 is 8 .

LCM of Denominators means LCM of 41,383 as per the given fractions.

LCM of 41,383 is 15703 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5688,7744

GCF of Fractions 5688/41,7744/383 is 8/15703

2 5688, 7744
2 2844, 3872
2 1422, 1936
711, 968

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5688,7744 By Matching Biggest Common Factor Method

Greatest Common Factor of 5688,7744 By Matching Biggest Common Factor Method

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Factors of 7744

List of positive integer factors of 7744 that divides 7744 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744

Greatest Common Factor

We found the factors 5688,7744 . The biggest common factor number is the GCF number.
So the greatest common factor 5688,7744 is 8.

Lets's calculate LCM of 41,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 15703

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/15703

Therefore, the GCF of Fractions 5688/41,7744/383 is 8/15703

Least Common Multiple of 41,383 with GCF Formula

Least Common Multiple of 41,383 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 41,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,383) = 1

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

GCF(41,383) x common factors =1 x 1 = 1

LCM(41,383) = ( 41 × 383 ) / 1

LCM(41,383) = 15703 / 1

LCM(41,383) = 15703


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 5688/41, 7744/383

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 5688/41, 7744/383?

Answer: GCF of Numerators as per given numbers 5688/41, 7744/383 is

GCF of Numerators i.e. for 5688,7744 is 8

LCM of denominators i.e. for 41,383 is 15703.

Thus, GCF of Fractions is 8/15703.Finally, GCF of Fractions for 5688/41, 7744/383 is 8/15703.