How to Find GCF of 6739/760, 2605/3064?

GCF of 6739/760, 2605/3064

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 6739/760, 2605/3064 i.e 1/291080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6739/760, 2605/3064.

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 6739/760,2605/3064?

Given fractions are 6739/760,2605/3064

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 6739/760,2605/3064, numerators are 6739,2605

Denominators are 760,3064

The GCF of 6739,2605 is 1 .

LCM of 760,3064 is 291080.

The greatest common factor of 6739/760,2605/3064 = [GCF of 6739,2605]/[LCM of 760,3064]= 1/291080

Therefore, the GCF of 6739/760,2605/3064 is 1/291080.

Greatest Common Factor of 6739,2605

To find the highest common factor of 6739,2605, we have to find the factors of both numbers and list the highest common factor.

The factors of 6739 are 1, 23, 293, 6739

The factors of 2605 are 1, 5, 521, 2605

The HCF of 6739,2605 is 1.

Lets's calculate GCF of 6739,2605

Greatest Common Factor (GCF) of 6739,2605 By Common Division

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

Greatest Common Factor of 6739,2605 By Matching Biggest Common Factor Method

Now, list down the factors of 6739

1,23,293,6739

Now, list down the factors of 2605

1,5,521,2605

Greatest Common Factor

We found the factors 6739,2605 . The biggest common factor number is the GCF number.
So the greatest common factor 6739,2605 is 1.

Lets's calculate LCM of 760,3064

Lowest Common Multiple of 760,3064 using Common Division

2	760, 3064
2	380, 1532
2	190, 766
	95, 383

∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 383 = 291080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291080

Therefore, the GCF of Fractions 6739/760,2605/3064 is 1/291080

Least Common Multiple of 760,3064 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 760,3064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,3064) = 8

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

GCF(760,3064) x common factors =8 x 1 = 8

LCM(760,3064) = ( 760 × 3064 ) / 8

LCM(760,3064) = 2328640 / 8

LCM(760,3064) = 291080

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FAQs on GCF of Fractions of 6739/760, 2605/3064

1. What is the HCF of 6739,2605?

The HCF of 6739,2605 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 6739/760, 2605/3064?

Answer: GCF of Numerators as per given numbers 6739/760, 2605/3064 is

GCF of Numerators i.e. for 6739,2605 is 1

LCM of denominators i.e. for 760,3064 is 291080.

Thus, GCF of Fractions is 1/291080.Finally, GCF of Fractions for 6739/760, 2605/3064 is 1/291080.