How to Find GCF of 9734/792, 8593/1096?

GCF of 9734/792, 8593/1096

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 9734/792, 8593/1096 i.e 1/108504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9734/792, 8593/1096.

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 9734/792,8593/1096?

Given fractions are 9734/792,8593/1096

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 9734/792,8593/1096, numerators are 9734,8593

Denominators are 792,1096

The GCF of 9734,8593 is 1 .

LCM of 792,1096 is 108504.

The greatest common factor of 9734/792,8593/1096 = [GCF of 9734,8593]/[LCM of 792,1096]= 1/108504

Therefore, the GCF of 9734/792,8593/1096 is 1/108504.

Greatest Common Factor of 9734,8593

To find the highest common factor of 9734,8593, we have to find the factors of both numbers and list the highest common factor.

The factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734

The factors of 8593 are 1, 13, 661, 8593

The HCF of 9734,8593 is 1.

Lets's calculate GCF of 9734,8593

Greatest Common Factor (GCF) of 9734,8593 By Common Division

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

Greatest Common Factor of 9734,8593 By Matching Biggest Common Factor Method

Now, list down the factors of 9734

1,2,31,62,157,314,4867,9734

Now, list down the factors of 8593

1,13,661,8593

Greatest Common Factor

We found the factors 9734,8593 . The biggest common factor number is the GCF number.
So the greatest common factor 9734,8593 is 1.

Lets's calculate LCM of 792,1096

Lowest Common Multiple of 792,1096 using Common Division

2	792, 1096
2	396, 548
2	198, 274
	99, 137

∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 137 = 108504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108504

Therefore, the GCF of Fractions 9734/792,8593/1096 is 1/108504

Least Common Multiple of 792,1096 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 792,1096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,1096) = 8

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

GCF(792,1096) x common factors =8 x 1 = 8

LCM(792,1096) = ( 792 × 1096 ) / 8

LCM(792,1096) = 868032 / 8

LCM(792,1096) = 108504

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FAQs on GCF of Fractions of 9734/792, 8593/1096

1. What is the HCF of 9734,8593?

The HCF of 9734,8593 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 9734/792, 8593/1096?

Answer: GCF of Numerators as per given numbers 9734/792, 8593/1096 is

GCF of Numerators i.e. for 9734,8593 is 1

LCM of denominators i.e. for 792,1096 is 108504.

Thus, GCF of Fractions is 1/108504.Finally, GCF of Fractions for 9734/792, 8593/1096 is 1/108504.