How to Find GCF of 5147/192, 7313/8240?

GCF of 5147/192, 7313/8240

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 5147/192, 7313/8240 i.e 1/98880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5147/192, 7313/8240.

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 5147/192,7313/8240?

Given fractions are 5147/192,7313/8240

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 5147/192,7313/8240, numerators are 5147,7313

Denominators are 192,8240

The GCF of 5147,7313 is 1 .

LCM of 192,8240 is 98880.

The greatest common factor of 5147/192,7313/8240 = [GCF of 5147,7313]/[LCM of 192,8240]= 1/98880

Therefore, the GCF of 5147/192,7313/8240 is 1/98880.

Greatest Common Factor of 5147,7313

To find the highest common factor of 5147,7313, we have to find the factors of both numbers and list the highest common factor.

The factors of 5147 are 1, 5147

The factors of 7313 are 1, 71, 103, 7313

The HCF of 5147,7313 is 1.

Lets's calculate GCF of 5147,7313

Greatest Common Factor (GCF) of 5147,7313 By Common Division

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

Greatest Common Factor of 5147,7313 By Matching Biggest Common Factor Method

Now, list down the factors of 5147

1,5147

Now, list down the factors of 7313

1,71,103,7313

Greatest Common Factor

We found the factors 5147,7313 . The biggest common factor number is the GCF number.
So the greatest common factor 5147,7313 is 1.

Lets's calculate LCM of 192,8240

Lowest Common Multiple of 192,8240 using Common Division

2	192, 8240
2	96, 4120
2	48, 2060
2	24, 1030
	12, 515

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 12 x 515 = 98880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98880

Therefore, the GCF of Fractions 5147/192,7313/8240 is 1/98880

Least Common Multiple of 192,8240 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 192,8240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,8240) = 16

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

GCF(192,8240) x common factors =16 x 1 = 16

LCM(192,8240) = ( 192 × 8240 ) / 16

LCM(192,8240) = 1582080 / 16

LCM(192,8240) = 98880

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FAQs on GCF of Fractions of 5147/192, 7313/8240

1. What is the HCF of 5147,7313?

The HCF of 5147,7313 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 5147/192, 7313/8240?

Answer: GCF of Numerators as per given numbers 5147/192, 7313/8240 is

GCF of Numerators i.e. for 5147,7313 is 1

LCM of denominators i.e. for 192,8240 is 98880.

Thus, GCF of Fractions is 1/98880.Finally, GCF of Fractions for 5147/192, 7313/8240 is 1/98880.