How to Find GCF of 439/270, 3362/7548?

GCF of 439/270, 3362/7548

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 439/270, 3362/7548 i.e 1/339660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 439/270, 3362/7548.

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 439/270,3362/7548?

Given fractions are 439/270,3362/7548

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 439/270,3362/7548, numerators are 439,3362

Denominators are 270,7548

The GCF of 439,3362 is 1 .

LCM of 270,7548 is 339660.

The greatest common factor of 439/270,3362/7548 = [GCF of 439,3362]/[LCM of 270,7548]= 1/339660

Therefore, the GCF of 439/270,3362/7548 is 1/339660.

Greatest Common Factor of 439,3362

To find the highest common factor of 439,3362, we have to find the factors of both numbers and list the highest common factor.

The factors of 439 are 1, 439

The factors of 3362 are 1, 2, 41, 82, 1681, 3362

The HCF of 439,3362 is 1.

Lets's calculate GCF of 439,3362

Greatest Common Factor (GCF) of 439,3362 By Common Division

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

Greatest Common Factor of 439,3362 By Matching Biggest Common Factor Method

Now, list down the factors of 439

1,439

Now, list down the factors of 3362

1,2,41,82,1681,3362

Greatest Common Factor

We found the factors 439,3362 . The biggest common factor number is the GCF number.
So the greatest common factor 439,3362 is 1.

Lets's calculate LCM of 270,7548

Lowest Common Multiple of 270,7548 using Common Division

2	270, 7548
3	135, 3774
	45, 1258

∴ So the LCM of the given numbers is 2 x 3 x 45 x 1258 = 339660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339660

Therefore, the GCF of Fractions 439/270,3362/7548 is 1/339660

Least Common Multiple of 270,7548 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 270,7548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,7548) = 6

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

GCF(270,7548) x common factors =6 x 1 = 6

LCM(270,7548) = ( 270 × 7548 ) / 6

LCM(270,7548) = 2037960 / 6

LCM(270,7548) = 339660

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FAQs on GCF of Fractions of 439/270, 3362/7548

1. What is the HCF of 439,3362?

The HCF of 439,3362 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 439/270, 3362/7548?

Answer: GCF of Numerators as per given numbers 439/270, 3362/7548 is

GCF of Numerators i.e. for 439,3362 is 1

LCM of denominators i.e. for 270,7548 is 339660.

Thus, GCF of Fractions is 1/339660.Finally, GCF of Fractions for 439/270, 3362/7548 is 1/339660.