LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 9813/290, 8029/308

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 9813/290, 8029/308 i.e 1/44660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9813/290, 8029/308.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9813/290,8029/308?

Given fractions are 9813/290,8029/308

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 9813/290,8029/308, numerators are 9813,8029

Denominators are 290,308

The GCF of 9813,8029 is 1 .

LCM of 290,308 is 44660.

The greatest common factor of 9813/290,8029/308 = [GCF of 9813,8029]/[LCM of 290,308]= 1/44660

Therefore, the GCF of 9813/290,8029/308 is 1/44660.

Greatest Common Factor of 9813,8029

To find the highest common factor of 9813,8029, we have to find the factors of both numbers and list the highest common factor.

The factors of 9813 are 1, 3, 3271, 9813

The factors of 8029 are 1, 7, 31, 37, 217, 259, 1147, 8029

The HCF of 9813,8029 is 1.

Lets's calculate GCF of 9813,8029

Greatest Common Factor (GCF) of 9813,8029 By Common Division

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

Greatest Common Factor of 9813,8029 By Matching Biggest Common Factor Method

Greatest Common Factor of 9813,8029 By Matching Biggest Common Factor Method

Now, list down the factors of 9813

:

1,3,3271,9813

Now, list down the factors of 8029

:

1,7,31,37,217,259,1147,8029

Greatest Common Factor

We found the factors 9813,8029 . The biggest common factor number is the GCF number.
So the greatest common factor 9813,8029 is 1.

Lets's calculate LCM of 290,308

Lowest Common Multiple of 290,308 using Common Division

2 290, 308
145, 154

∴ So the LCM of the given numbers is 2 x 145 x 154 = 44660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44660

Therefore, the GCF of Fractions 9813/290,8029/308 is 1/44660

Least Common Multiple of 290,308 with GCF Formula

Least Common Multiple of 290,308 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 290,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,308) = 2

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

GCF(290,308) x common factors =2 x 1 = 2

LCM(290,308) = ( 290 × 308 ) / 2

LCM(290,308) = 89320 / 2

LCM(290,308) = 44660


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9813/290, 8029/308

1. What is the HCF of 9813,8029?

The HCF of 9813,8029 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 9813/290, 8029/308?

Answer: GCF of Numerators as per given numbers 9813/290, 8029/308 is

GCF of Numerators i.e. for 9813,8029 is 1

LCM of denominators i.e. for 290,308 is 44660.

Thus, GCF of Fractions is 1/44660.Finally, GCF of Fractions for 9813/290, 8029/308 is 1/44660.