GCF of 7242/243, 8929/8421
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7242/243, 8929/8421 i.e 1/682101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7242/243, 8929/8421.
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 7242/243,8929/8421?
Given fractions are 7242/243,8929/8421
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 7242/243,8929/8421, numerators are 7242,8929
Denominators are 243,8421
The GCF of 7242,8929 is 1 .
LCM of 243,8421 is 682101.
The greatest common factor of 7242/243,8929/8421 = [GCF of 7242,8929]/[LCM of 243,8421]= 1/682101
Therefore, the GCF of 7242/243,8929/8421 is 1/682101.
To find the highest common factor of 7242,8929, we have to find the factors of both numbers and list the highest common factor.
The factors of 7242 are 1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621, 7242
The factors of 8929 are 1, 8929
The HCF of 7242,8929 is 1.
Lets's calculate GCF of 7242,8929
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7242,8929 By Matching Biggest Common Factor Method
Now, list down the factors of 7242
:1,2,3,6,17,34,51,71,102,142,213,426,1207,2414,3621,7242
Now, list down the factors of 8929
:1,8929
Greatest Common Factor
We found the factors 7242,8929 . The biggest common factor number is the GCF number.
So the greatest common factor 7242,8929 is 1.
Lets's calculate LCM of 243,8421
| 3 | 243, 8421 |
| 81, 2807 |
∴ So the LCM of the given numbers is 3 x 81 x 2807 = 682101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/682101
Therefore, the GCF of Fractions 7242/243,8929/8421 is 1/682101
Least Common Multiple of 243,8421 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 243,8421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,8421) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,8421) x common factors =3 x 1 = 3
LCM(243,8421) = ( 243 × 8421 ) / 3
LCM(243,8421) = 2046303 / 3
LCM(243,8421) = 682101
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7242/243, 8929/8421
1. What is the HCF of 7242,8929?
The HCF of 7242,8929 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 7242/243, 8929/8421?
Answer: GCF of Numerators as per given numbers 7242/243, 8929/8421 is
GCF of Numerators i.e. for 7242,8929 is 1
LCM of denominators i.e. for 243,8421 is 682101.
Thus, GCF of Fractions is 1/682101.Finally, GCF of Fractions for 7242/243, 8929/8421 is 1/682101.