How to Find GCF of 7212/254, 5317/4626?

GCF of 7212/254, 5317/4626

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 7212/254, 5317/4626 i.e 1/587502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7212/254, 5317/4626.

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 7212/254,5317/4626?

Given fractions are 7212/254,5317/4626

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 7212/254,5317/4626, numerators are 7212,5317

Denominators are 254,4626

The GCF of 7212,5317 is 1 .

LCM of 254,4626 is 587502.

The greatest common factor of 7212/254,5317/4626 = [GCF of 7212,5317]/[LCM of 254,4626]= 1/587502

Therefore, the GCF of 7212/254,5317/4626 is 1/587502.

Greatest Common Factor of 7212,5317

To find the highest common factor of 7212,5317, we have to find the factors of both numbers and list the highest common factor.

The factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212

The factors of 5317 are 1, 13, 409, 5317

The HCF of 7212,5317 is 1.

Lets's calculate GCF of 7212,5317

Greatest Common Factor (GCF) of 7212,5317 By Common Division

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

Greatest Common Factor of 7212,5317 By Matching Biggest Common Factor Method

Now, list down the factors of 7212

1,2,3,4,6,12,601,1202,1803,2404,3606,7212

Now, list down the factors of 5317

1,13,409,5317

Greatest Common Factor

We found the factors 7212,5317 . The biggest common factor number is the GCF number.
So the greatest common factor 7212,5317 is 1.

Lets's calculate LCM of 254,4626

Lowest Common Multiple of 254,4626 using Common Division

2	254, 4626
	127, 2313

∴ So the LCM of the given numbers is 2 x 127 x 2313 = 587502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/587502

Therefore, the GCF of Fractions 7212/254,5317/4626 is 1/587502

Least Common Multiple of 254,4626 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 254,4626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,4626) = 2

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

GCF(254,4626) x common factors =2 x 1 = 2

LCM(254,4626) = ( 254 × 4626 ) / 2

LCM(254,4626) = 1175004 / 2

LCM(254,4626) = 587502

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7212/254, 5317/4626

1. What is the HCF of 7212,5317?

The HCF of 7212,5317 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 7212/254, 5317/4626?

Answer: GCF of Numerators as per given numbers 7212/254, 5317/4626 is

GCF of Numerators i.e. for 7212,5317 is 1

LCM of denominators i.e. for 254,4626 is 587502.

Thus, GCF of Fractions is 1/587502.Finally, GCF of Fractions for 7212/254, 5317/4626 is 1/587502.