How to Find GCF of 8327/724, 4302/1702?

GCF of 8327/724, 4302/1702

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 8327/724, 4302/1702 i.e 1/616124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8327/724, 4302/1702.

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 8327/724,4302/1702?

Given fractions are 8327/724,4302/1702

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 8327/724,4302/1702, numerators are 8327,4302

Denominators are 724,1702

The GCF of 8327,4302 is 1 .

LCM of 724,1702 is 616124.

The greatest common factor of 8327/724,4302/1702 = [GCF of 8327,4302]/[LCM of 724,1702]= 1/616124

Therefore, the GCF of 8327/724,4302/1702 is 1/616124.

Greatest Common Factor of 8327,4302

To find the highest common factor of 8327,4302, we have to find the factors of both numbers and list the highest common factor.

The factors of 8327 are 1, 11, 757, 8327

The factors of 4302 are 1, 2, 3, 6, 9, 18, 239, 478, 717, 1434, 2151, 4302

The HCF of 8327,4302 is 1.

Lets's calculate GCF of 8327,4302

Greatest Common Factor (GCF) of 8327,4302 By Common Division

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

Greatest Common Factor of 8327,4302 By Matching Biggest Common Factor Method

Now, list down the factors of 8327

1,11,757,8327

Now, list down the factors of 4302

1,2,3,6,9,18,239,478,717,1434,2151,4302

Greatest Common Factor

We found the factors 8327,4302 . The biggest common factor number is the GCF number.
So the greatest common factor 8327,4302 is 1.

Lets's calculate LCM of 724,1702

Lowest Common Multiple of 724,1702 using Common Division

2	724, 1702
	362, 851

∴ So the LCM of the given numbers is 2 x 362 x 851 = 616124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616124

Therefore, the GCF of Fractions 8327/724,4302/1702 is 1/616124

Least Common Multiple of 724,1702 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 724,1702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,1702) = 2

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

GCF(724,1702) x common factors =2 x 1 = 2

LCM(724,1702) = ( 724 × 1702 ) / 2

LCM(724,1702) = 1232248 / 2

LCM(724,1702) = 616124

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FAQs on GCF of Fractions of 8327/724, 4302/1702

1. What is the HCF of 8327,4302?

The HCF of 8327,4302 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 8327/724, 4302/1702?

Answer: GCF of Numerators as per given numbers 8327/724, 4302/1702 is

GCF of Numerators i.e. for 8327,4302 is 1

LCM of denominators i.e. for 724,1702 is 616124.

Thus, GCF of Fractions is 1/616124.Finally, GCF of Fractions for 8327/724, 4302/1702 is 1/616124.