How to Find GCF of 9815/768, 1219/5096?

GCF of 9815/768, 1219/5096

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 9815/768, 1219/5096 i.e 1/489216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9815/768, 1219/5096.

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 9815/768,1219/5096?

Given fractions are 9815/768,1219/5096

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 9815/768,1219/5096, numerators are 9815,1219

Denominators are 768,5096

The GCF of 9815,1219 is 1 .

LCM of 768,5096 is 489216.

The greatest common factor of 9815/768,1219/5096 = [GCF of 9815,1219]/[LCM of 768,5096]= 1/489216

Therefore, the GCF of 9815/768,1219/5096 is 1/489216.

Greatest Common Factor of 9815,1219

To find the highest common factor of 9815,1219, we have to find the factors of both numbers and list the highest common factor.

The factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815

The factors of 1219 are 1, 23, 53, 1219

The HCF of 9815,1219 is 1.

Lets's calculate GCF of 9815,1219

Greatest Common Factor (GCF) of 9815,1219 By Common Division

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

Greatest Common Factor of 9815,1219 By Matching Biggest Common Factor Method

Now, list down the factors of 9815

1,5,13,65,151,755,1963,9815

Now, list down the factors of 1219

1,23,53,1219

Greatest Common Factor

We found the factors 9815,1219 . The biggest common factor number is the GCF number.
So the greatest common factor 9815,1219 is 1.

Lets's calculate LCM of 768,5096

Lowest Common Multiple of 768,5096 using Common Division

2	768, 5096
2	384, 2548
2	192, 1274
	96, 637

∴ So the LCM of the given numbers is 2 x 2 x 2 x 96 x 637 = 489216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489216

Therefore, the GCF of Fractions 9815/768,1219/5096 is 1/489216

Least Common Multiple of 768,5096 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 768,5096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,5096) = 8

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

GCF(768,5096) x common factors =8 x 1 = 8

LCM(768,5096) = ( 768 × 5096 ) / 8

LCM(768,5096) = 3913728 / 8

LCM(768,5096) = 489216

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9815/768, 1219/5096

1. What is the HCF of 9815,1219?

The HCF of 9815,1219 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 9815/768, 1219/5096?

Answer: GCF of Numerators as per given numbers 9815/768, 1219/5096 is

GCF of Numerators i.e. for 9815,1219 is 1

LCM of denominators i.e. for 768,5096 is 489216.

Thus, GCF of Fractions is 1/489216.Finally, GCF of Fractions for 9815/768, 1219/5096 is 1/489216.