Use our free GCF of Fractions Calculator tool to compute the GCF of 4292/471, 8449/135 i.e 1/21195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4292/471, 8449/135.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4292/471,8449/135
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 4292/471,8449/135, numerators are 4292,8449
Denominators are 471,135
The GCF of 4292,8449 is 1 .
LCM of 471,135 is 21195.
The greatest common factor of 4292/471,8449/135 = [GCF of 4292,8449]/[LCM of 471,135]= 1/21195
Therefore, the GCF of 4292/471,8449/135 is 1/21195.
To find the highest common factor of 4292,8449, we have to find the factors of both numbers and list the highest common factor.
The factors of 4292 are 1, 2, 4, 29, 37, 58, 74, 116, 148, 1073, 2146, 4292
The factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449
The HCF of 4292,8449 is 1.
Lets's calculate GCF of 4292,8449
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4292
:1,2,4,29,37,58,74,116,148,1073,2146,4292
Now, list down the factors of 8449
:1,7,17,71,119,497,1207,8449
Greatest Common Factor
We found the factors 4292,8449 . The biggest common factor number is the GCF number.
So the greatest common factor 4292,8449 is 1.
Lets's calculate LCM of 471,135
3 | 471, 135 |
157, 45 |
∴ So the LCM of the given numbers is 3 x 157 x 45 = 21195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21195
Therefore, the GCF of Fractions 4292/471,8449/135 is 1/21195
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 471,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,135) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(471,135) x common factors =3 x 1 = 3
LCM(471,135) = ( 471 × 135 ) / 3
LCM(471,135) = 63585 / 3
LCM(471,135) = 21195
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4292,8449?
The HCF of 4292,8449 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 4292/471, 8449/135?
Answer: GCF of Numerators as per given numbers 4292/471, 8449/135 is
GCF of Numerators i.e. for 4292,8449 is 1
LCM of denominators i.e. for 471,135 is 21195.
Thus, GCF of Fractions is 1/21195.Finally, GCF of Fractions for 4292/471, 8449/135 is 1/21195.