How to Find GCF of 7613/294, 4759/2808?

GCF of 7613/294, 4759/2808

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 7613/294, 4759/2808 i.e 1/137592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7613/294, 4759/2808.

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 7613/294,4759/2808?

Given fractions are 7613/294,4759/2808

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 7613/294,4759/2808, numerators are 7613,4759

Denominators are 294,2808

The GCF of 7613,4759 is 1 .

LCM of 294,2808 is 137592.

The greatest common factor of 7613/294,4759/2808 = [GCF of 7613,4759]/[LCM of 294,2808]= 1/137592

Therefore, the GCF of 7613/294,4759/2808 is 1/137592.

Greatest Common Factor of 7613,4759

To find the highest common factor of 7613,4759, we have to find the factors of both numbers and list the highest common factor.

The factors of 7613 are 1, 23, 331, 7613

The factors of 4759 are 1, 4759

The HCF of 7613,4759 is 1.

Lets's calculate GCF of 7613,4759

Greatest Common Factor (GCF) of 7613,4759 By Common Division

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

Greatest Common Factor of 7613,4759 By Matching Biggest Common Factor Method

Now, list down the factors of 7613

1,23,331,7613

Now, list down the factors of 4759

1,4759

Greatest Common Factor

We found the factors 7613,4759 . The biggest common factor number is the GCF number.
So the greatest common factor 7613,4759 is 1.

Lets's calculate LCM of 294,2808

Lowest Common Multiple of 294,2808 using Common Division

2	294, 2808
3	147, 1404
	49, 468

∴ So the LCM of the given numbers is 2 x 3 x 49 x 468 = 137592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137592

Therefore, the GCF of Fractions 7613/294,4759/2808 is 1/137592

Least Common Multiple of 294,2808 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 294,2808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,2808) = 6

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

GCF(294,2808) x common factors =6 x 1 = 6

LCM(294,2808) = ( 294 × 2808 ) / 6

LCM(294,2808) = 825552 / 6

LCM(294,2808) = 137592

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FAQs on GCF of Fractions of 7613/294, 4759/2808

1. What is the HCF of 7613,4759?

The HCF of 7613,4759 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 7613/294, 4759/2808?

Answer: GCF of Numerators as per given numbers 7613/294, 4759/2808 is

GCF of Numerators i.e. for 7613,4759 is 1

LCM of denominators i.e. for 294,2808 is 137592.

Thus, GCF of Fractions is 1/137592.Finally, GCF of Fractions for 7613/294, 4759/2808 is 1/137592.