How to Find GCF of 7739/378, 4067/9763?

GCF of 7739/378, 4067/9763

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 7739/378, 4067/9763 i.e 1/3690414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7739/378, 4067/9763.

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 7739/378,4067/9763?

Given fractions are 7739/378,4067/9763

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 7739/378,4067/9763, numerators are 7739,4067

Denominators are 378,9763

The GCF of 7739,4067 is 1 .

LCM of 378,9763 is 3690414.

The greatest common factor of 7739/378,4067/9763 = [GCF of 7739,4067]/[LCM of 378,9763]= 1/3690414

Therefore, the GCF of 7739/378,4067/9763 is 1/3690414.

Greatest Common Factor of 7739,4067

To find the highest common factor of 7739,4067, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 4067 are 1, 7, 49, 83, 581, 4067

The HCF of 7739,4067 is 1.

Lets's calculate GCF of 7739,4067

Greatest Common Factor (GCF) of 7739,4067 By Common Division

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

Greatest Common Factor of 7739,4067 By Matching Biggest Common Factor Method

Now, list down the factors of 7739

1,71,109,7739

Now, list down the factors of 4067

1,7,49,83,581,4067

Greatest Common Factor

We found the factors 7739,4067 . The biggest common factor number is the GCF number.
So the greatest common factor 7739,4067 is 1.

Lets's calculate LCM of 378,9763

Lowest Common Multiple of 378,9763 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3690414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3690414

Therefore, the GCF of Fractions 7739/378,4067/9763 is 1/3690414

Least Common Multiple of 378,9763 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 378,9763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,9763) = 1

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

GCF(378,9763) x common factors =1 x 1 = 1

LCM(378,9763) = ( 378 × 9763 ) / 1

LCM(378,9763) = 3690414 / 1

LCM(378,9763) = 3690414

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FAQs on GCF of Fractions of 7739/378, 4067/9763

1. What is the HCF of 7739,4067?

The HCF of 7739,4067 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 7739/378, 4067/9763?

Answer: GCF of Numerators as per given numbers 7739/378, 4067/9763 is

GCF of Numerators i.e. for 7739,4067 is 1

LCM of denominators i.e. for 378,9763 is 3690414.

Thus, GCF of Fractions is 1/3690414.Finally, GCF of Fractions for 7739/378, 4067/9763 is 1/3690414.