How to Find GCF of 9763/499, 7306/5610?

GCF of 9763/499, 7306/5610

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 9763/499, 7306/5610 i.e 13/2799390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9763/499, 7306/5610.

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 9763/499,7306/5610?

Given fractions are 9763/499,7306/5610

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 9763/499,7306/5610, numerators are 9763,7306

Denominators are 499,5610

The GCF of 9763,7306 is 13 .

LCM of 499,5610 is 2799390.

The greatest common factor of 9763/499,7306/5610 = [GCF of 9763,7306]/[LCM of 499,5610]= 13/2799390

Therefore, the GCF of 9763/499,7306/5610 is 13/2799390.

Greatest Common Factor of 9763,7306

To find the highest common factor of 9763,7306, we have to find the factors of both numbers and list the highest common factor.

The factors of 9763 are 1, 13, 751, 9763

The factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306

The HCF of 9763,7306 is 13.

Lets's calculate GCF of 9763,7306

Greatest Common Factor (GCF) of 9763,7306 By Common Division

13	9763, 7306
	751, 562

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9763,7306 By Matching Biggest Common Factor Method

Now, list down the factors of 9763

1,13,751,9763

Now, list down the factors of 7306

1,2,13,26,281,562,3653,7306

Greatest Common Factor

We found the factors 9763,7306 . The biggest common factor number is the GCF number.
So the greatest common factor 9763,7306 is 13.

Lets's calculate LCM of 499,5610

Lowest Common Multiple of 499,5610 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2799390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2799390

Therefore, the GCF of Fractions 9763/499,7306/5610 is 13/2799390

Least Common Multiple of 499,5610 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 499,5610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,5610) = 1

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

GCF(499,5610) x common factors =1 x 1 = 1

LCM(499,5610) = ( 499 × 5610 ) / 1

LCM(499,5610) = 2799390 / 1

LCM(499,5610) = 2799390

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9763/499, 7306/5610

1. What is the HCF of 9763,7306?

The HCF of 9763,7306 is 13

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 9763/499, 7306/5610?

Answer: GCF of Numerators as per given numbers 9763/499, 7306/5610 is

GCF of Numerators i.e. for 9763,7306 is 13

LCM of denominators i.e. for 499,5610 is 2799390.

Thus, GCF of Fractions is 13/2799390.Finally, GCF of Fractions for 9763/499, 7306/5610 is 13/2799390.