GCF of 8228/264, 4642/2241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8228/264, 4642/2241 i.e 22/197208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8228/264, 4642/2241.
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 8228/264,4642/2241?
Given fractions are 8228/264,4642/2241
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 8228/264,4642/2241, numerators are 8228,4642
Denominators are 264,2241
The GCF of 8228,4642 is 22 .
LCM of 264,2241 is 197208.
The greatest common factor of 8228/264,4642/2241 = [GCF of 8228,4642]/[LCM of 264,2241]= 22/197208
Therefore, the GCF of 8228/264,4642/2241 is 22/197208.
To find the highest common factor of 8228,4642, we have to find the factors of both numbers and list the highest common factor.
The factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
The factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642
The HCF of 8228,4642 is 22.
Lets's calculate GCF of 8228,4642
| 2 | 8228, 4642 |
| 11 | 4114, 2321 |
| 374, 211 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 8228,4642 By Matching Biggest Common Factor Method
Now, list down the factors of 8228
:1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Now, list down the factors of 4642
:1,2,11,22,211,422,2321,4642
Greatest Common Factor
We found the factors 8228,4642 . The biggest common factor number is the GCF number.
So the greatest common factor 8228,4642 is 22.
Lets's calculate LCM of 264,2241
| 3 | 264, 2241 |
| 88, 747 |
∴ So the LCM of the given numbers is 3 x 88 x 747 = 197208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/197208
Therefore, the GCF of Fractions 8228/264,4642/2241 is 22/197208
Least Common Multiple of 264,2241 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 264,2241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,2241) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(264,2241) x common factors =3 x 1 = 3
LCM(264,2241) = ( 264 × 2241 ) / 3
LCM(264,2241) = 591624 / 3
LCM(264,2241) = 197208
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8228/264, 4642/2241
1. What is the HCF of 8228,4642?
The HCF of 8228,4642 is 22
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 8228/264, 4642/2241?
Answer: GCF of Numerators as per given numbers 8228/264, 4642/2241 is
GCF of Numerators i.e. for 8228,4642 is 22
LCM of denominators i.e. for 264,2241 is 197208.
Thus, GCF of Fractions is 22/197208.Finally, GCF of Fractions for 8228/264, 4642/2241 is 22/197208.