How to Find GCF of 7439/588, 3307/6889?

GCF of 7439/588, 3307/6889

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 7439/588, 3307/6889 i.e 1/4050732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7439/588, 3307/6889.

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 7439/588,3307/6889?

Given fractions are 7439/588,3307/6889

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 7439/588,3307/6889, numerators are 7439,3307

Denominators are 588,6889

The GCF of 7439,3307 is 1 .

LCM of 588,6889 is 4050732.

The greatest common factor of 7439/588,3307/6889 = [GCF of 7439,3307]/[LCM of 588,6889]= 1/4050732

Therefore, the GCF of 7439/588,3307/6889 is 1/4050732.

Greatest Common Factor of 7439,3307

To find the highest common factor of 7439,3307, we have to find the factors of both numbers and list the highest common factor.

The factors of 7439 are 1, 43, 173, 7439

The factors of 3307 are 1, 3307

The HCF of 7439,3307 is 1.

Lets's calculate GCF of 7439,3307

Greatest Common Factor (GCF) of 7439,3307 By Common Division

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

Greatest Common Factor of 7439,3307 By Matching Biggest Common Factor Method

Now, list down the factors of 7439

1,43,173,7439

Now, list down the factors of 3307

1,3307

Greatest Common Factor

We found the factors 7439,3307 . The biggest common factor number is the GCF number.
So the greatest common factor 7439,3307 is 1.

Lets's calculate LCM of 588,6889

Lowest Common Multiple of 588,6889 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4050732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4050732

Therefore, the GCF of Fractions 7439/588,3307/6889 is 1/4050732

Least Common Multiple of 588,6889 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 588,6889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,6889) = 1

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

GCF(588,6889) x common factors =1 x 1 = 1

LCM(588,6889) = ( 588 × 6889 ) / 1

LCM(588,6889) = 4050732 / 1

LCM(588,6889) = 4050732

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FAQs on GCF of Fractions of 7439/588, 3307/6889

1. What is the HCF of 7439,3307?

The HCF of 7439,3307 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 7439/588, 3307/6889?

Answer: GCF of Numerators as per given numbers 7439/588, 3307/6889 is

GCF of Numerators i.e. for 7439,3307 is 1

LCM of denominators i.e. for 588,6889 is 4050732.

Thus, GCF of Fractions is 1/4050732.Finally, GCF of Fractions for 7439/588, 3307/6889 is 1/4050732.