How to Find GCF of 7094/270, 7739/5849?

GCF of 7094/270, 7739/5849

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 7094/270, 7739/5849 i.e 1/1579230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7094/270, 7739/5849.

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 7094/270,7739/5849?

Given fractions are 7094/270,7739/5849

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 7094/270,7739/5849, numerators are 7094,7739

Denominators are 270,5849

The GCF of 7094,7739 is 1 .

LCM of 270,5849 is 1579230.

The greatest common factor of 7094/270,7739/5849 = [GCF of 7094,7739]/[LCM of 270,5849]= 1/1579230

Therefore, the GCF of 7094/270,7739/5849 is 1/1579230.

Greatest Common Factor of 7094,7739

To find the highest common factor of 7094,7739, we have to find the factors of both numbers and list the highest common factor.

The factors of 7094 are 1, 2, 3547, 7094

The factors of 7739 are 1, 71, 109, 7739

The HCF of 7094,7739 is 1.

Lets's calculate GCF of 7094,7739

Greatest Common Factor (GCF) of 7094,7739 By Common Division

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

Greatest Common Factor of 7094,7739 By Matching Biggest Common Factor Method

Now, list down the factors of 7094

1,2,3547,7094

Now, list down the factors of 7739

1,71,109,7739

Greatest Common Factor

We found the factors 7094,7739 . The biggest common factor number is the GCF number.
So the greatest common factor 7094,7739 is 1.

Lets's calculate LCM of 270,5849

Lowest Common Multiple of 270,5849 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1579230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1579230

Therefore, the GCF of Fractions 7094/270,7739/5849 is 1/1579230

Least Common Multiple of 270,5849 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 270,5849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,5849) = 1

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

GCF(270,5849) x common factors =1 x 1 = 1

LCM(270,5849) = ( 270 × 5849 ) / 1

LCM(270,5849) = 1579230 / 1

LCM(270,5849) = 1579230

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FAQs on GCF of Fractions of 7094/270, 7739/5849

1. What is the HCF of 7094,7739?

The HCF of 7094,7739 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 7094/270, 7739/5849?

Answer: GCF of Numerators as per given numbers 7094/270, 7739/5849 is

GCF of Numerators i.e. for 7094,7739 is 1

LCM of denominators i.e. for 270,5849 is 1579230.

Thus, GCF of Fractions is 1/1579230.Finally, GCF of Fractions for 7094/270, 7739/5849 is 1/1579230.