How to Find GCF of 7425/396, 4679/1368?

GCF of 7425/396, 4679/1368

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 7425/396, 4679/1368 i.e 1/15048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7425/396, 4679/1368.

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 7425/396,4679/1368?

Given fractions are 7425/396,4679/1368

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 7425/396,4679/1368, numerators are 7425,4679

Denominators are 396,1368

The GCF of 7425,4679 is 1 .

LCM of 396,1368 is 15048.

The greatest common factor of 7425/396,4679/1368 = [GCF of 7425,4679]/[LCM of 396,1368]= 1/15048

Therefore, the GCF of 7425/396,4679/1368 is 1/15048.

Greatest Common Factor of 7425,4679

To find the highest common factor of 7425,4679, we have to find the factors of both numbers and list the highest common factor.

The factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425

The factors of 4679 are 1, 4679

The HCF of 7425,4679 is 1.

Lets's calculate GCF of 7425,4679

Greatest Common Factor (GCF) of 7425,4679 By Common Division

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

Greatest Common Factor of 7425,4679 By Matching Biggest Common Factor Method

Now, list down the factors of 7425

1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425

Now, list down the factors of 4679

1,4679

Greatest Common Factor

We found the factors 7425,4679 . The biggest common factor number is the GCF number.
So the greatest common factor 7425,4679 is 1.

Lets's calculate LCM of 396,1368

Lowest Common Multiple of 396,1368 using Common Division

2	396, 1368
2	198, 684
3	99, 342
3	33, 114
	11, 38

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 38 = 15048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15048

Therefore, the GCF of Fractions 7425/396,4679/1368 is 1/15048

Least Common Multiple of 396,1368 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 396,1368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,1368) = 36

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

GCF(396,1368) x common factors =36 x 1 = 36

LCM(396,1368) = ( 396 × 1368 ) / 36

LCM(396,1368) = 541728 / 36

LCM(396,1368) = 15048

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FAQs on GCF of Fractions of 7425/396, 4679/1368

1. What is the HCF of 7425,4679?

The HCF of 7425,4679 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 7425/396, 4679/1368?

Answer: GCF of Numerators as per given numbers 7425/396, 4679/1368 is

GCF of Numerators i.e. for 7425,4679 is 1

LCM of denominators i.e. for 396,1368 is 15048.

Thus, GCF of Fractions is 1/15048.Finally, GCF of Fractions for 7425/396, 4679/1368 is 1/15048.