How to Find GCF of 5744/760, 3989/5238?

GCF of 5744/760, 3989/5238

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 5744/760, 3989/5238 i.e 1/1990440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5744/760, 3989/5238.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 5744/760,3989/5238?

Given fractions are 5744/760,3989/5238

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 5744/760,3989/5238, numerators are 5744,3989

Denominators are 760,5238

The GCF of 5744,3989 is 1 .

LCM of 760,5238 is 1990440.

The greatest common factor of 5744/760,3989/5238 = [GCF of 5744,3989]/[LCM of 760,5238]= 1/1990440

Therefore, the GCF of 5744/760,3989/5238 is 1/1990440.

Greatest Common Factor of 5744,3989

To find the highest common factor of 5744,3989, we have to find the factors of both numbers and list the highest common factor.

The factors of 5744 are 1, 2, 4, 8, 16, 359, 718, 1436, 2872, 5744

The factors of 3989 are 1, 3989

The HCF of 5744,3989 is 1.

Lets's calculate GCF of 5744,3989

Greatest Common Factor (GCF) of 5744,3989 By Common Division

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

Greatest Common Factor of 5744,3989 By Matching Biggest Common Factor Method

Now, list down the factors of 5744

1,2,4,8,16,359,718,1436,2872,5744

Now, list down the factors of 3989

1,3989

Greatest Common Factor

We found the factors 5744,3989 . The biggest common factor number is the GCF number.
So the greatest common factor 5744,3989 is 1.

Lets's calculate LCM of 760,5238

Lowest Common Multiple of 760,5238 using Common Division

2	760, 5238
	380, 2619

∴ So the LCM of the given numbers is 2 x 380 x 2619 = 1990440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1990440

Therefore, the GCF of Fractions 5744/760,3989/5238 is 1/1990440

Least Common Multiple of 760,5238 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 760,5238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,5238) = 2

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

GCF(760,5238) x common factors =2 x 1 = 2

LCM(760,5238) = ( 760 × 5238 ) / 2

LCM(760,5238) = 3980880 / 2

LCM(760,5238) = 1990440

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FAQs on GCF of Fractions of 5744/760, 3989/5238

1. What is the HCF of 5744,3989?

The HCF of 5744,3989 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 5744/760, 3989/5238?

Answer: GCF of Numerators as per given numbers 5744/760, 3989/5238 is

GCF of Numerators i.e. for 5744,3989 is 1

LCM of denominators i.e. for 760,5238 is 1990440.

Thus, GCF of Fractions is 1/1990440.Finally, GCF of Fractions for 5744/760, 3989/5238 is 1/1990440.