How to Find GCF of 7315/360, 8291/5302?

GCF of 7315/360, 8291/5302

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 7315/360, 8291/5302 i.e 1/954360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7315/360, 8291/5302.

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 7315/360,8291/5302?

Given fractions are 7315/360,8291/5302

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 7315/360,8291/5302, numerators are 7315,8291

Denominators are 360,5302

The GCF of 7315,8291 is 1 .

LCM of 360,5302 is 954360.

The greatest common factor of 7315/360,8291/5302 = [GCF of 7315,8291]/[LCM of 360,5302]= 1/954360

Therefore, the GCF of 7315/360,8291/5302 is 1/954360.

Greatest Common Factor of 7315,8291

To find the highest common factor of 7315,8291, we have to find the factors of both numbers and list the highest common factor.

The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315

The factors of 8291 are 1, 8291

The HCF of 7315,8291 is 1.

Lets's calculate GCF of 7315,8291

Greatest Common Factor (GCF) of 7315,8291 By Common Division

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

Greatest Common Factor of 7315,8291 By Matching Biggest Common Factor Method

Now, list down the factors of 7315

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Now, list down the factors of 8291

1,8291

Greatest Common Factor

We found the factors 7315,8291 . The biggest common factor number is the GCF number.
So the greatest common factor 7315,8291 is 1.

Lets's calculate LCM of 360,5302

Lowest Common Multiple of 360,5302 using Common Division

2	360, 5302
	180, 2651

∴ So the LCM of the given numbers is 2 x 180 x 2651 = 954360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/954360

Therefore, the GCF of Fractions 7315/360,8291/5302 is 1/954360

Least Common Multiple of 360,5302 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 360,5302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,5302) = 2

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

GCF(360,5302) x common factors =2 x 1 = 2

LCM(360,5302) = ( 360 × 5302 ) / 2

LCM(360,5302) = 1908720 / 2

LCM(360,5302) = 954360

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FAQs on GCF of Fractions of 7315/360, 8291/5302

1. What is the HCF of 7315,8291?

The HCF of 7315,8291 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 7315/360, 8291/5302?

Answer: GCF of Numerators as per given numbers 7315/360, 8291/5302 is

GCF of Numerators i.e. for 7315,8291 is 1

LCM of denominators i.e. for 360,5302 is 954360.

Thus, GCF of Fractions is 1/954360.Finally, GCF of Fractions for 7315/360, 8291/5302 is 1/954360.