How to Find GCF of 4079/792, 6784/7541?

GCF of 4079/792, 6784/7541

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 4079/792, 6784/7541 i.e 1/5972472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4079/792, 6784/7541.

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 4079/792,6784/7541?

Given fractions are 4079/792,6784/7541

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 4079/792,6784/7541, numerators are 4079,6784

Denominators are 792,7541

The GCF of 4079,6784 is 1 .

LCM of 792,7541 is 5972472.

The greatest common factor of 4079/792,6784/7541 = [GCF of 4079,6784]/[LCM of 792,7541]= 1/5972472

Therefore, the GCF of 4079/792,6784/7541 is 1/5972472.

Greatest Common Factor of 4079,6784

To find the highest common factor of 4079,6784, we have to find the factors of both numbers and list the highest common factor.

The factors of 4079 are 1, 4079

The factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784

The HCF of 4079,6784 is 1.

Lets's calculate GCF of 4079,6784

Greatest Common Factor (GCF) of 4079,6784 By Common Division

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

Greatest Common Factor of 4079,6784 By Matching Biggest Common Factor Method

Now, list down the factors of 4079

1,4079

Now, list down the factors of 6784

1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784

Greatest Common Factor

We found the factors 4079,6784 . The biggest common factor number is the GCF number.
So the greatest common factor 4079,6784 is 1.

Lets's calculate LCM of 792,7541

Lowest Common Multiple of 792,7541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5972472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5972472

Therefore, the GCF of Fractions 4079/792,6784/7541 is 1/5972472

Least Common Multiple of 792,7541 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 792,7541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,7541) = 1

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

GCF(792,7541) x common factors =1 x 1 = 1

LCM(792,7541) = ( 792 × 7541 ) / 1

LCM(792,7541) = 5972472 / 1

LCM(792,7541) = 5972472

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FAQs on GCF of Fractions of 4079/792, 6784/7541

1. What is the HCF of 4079,6784?

The HCF of 4079,6784 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 4079/792, 6784/7541?

Answer: GCF of Numerators as per given numbers 4079/792, 6784/7541 is

GCF of Numerators i.e. for 4079,6784 is 1

LCM of denominators i.e. for 792,7541 is 5972472.

Thus, GCF of Fractions is 1/5972472.Finally, GCF of Fractions for 4079/792, 6784/7541 is 1/5972472.