Use our free GCF of Fractions Calculator tool to compute the GCF of 448/614, 8588/4630 i.e 4/1421410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/614, 8588/4630.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/614,8588/4630
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 448/614,8588/4630, numerators are 448,8588
Denominators are 614,4630
The GCF of 448,8588 is 4 .
LCM of 614,4630 is 1421410.
The greatest common factor of 448/614,8588/4630 = [GCF of 448,8588]/[LCM of 614,4630]= 4/1421410
Therefore, the GCF of 448/614,8588/4630 is 4/1421410.
To find the highest common factor of 448,8588, we have to find the factors of both numbers and list the highest common factor.
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The factors of 8588 are 1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588
The HCF of 448,8588 is 4.
Lets's calculate GCF of 448,8588
2 | 448, 8588 |
2 | 224, 4294 |
112, 2147 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Now, list down the factors of 8588
:1,2,4,19,38,76,113,226,452,2147,4294,8588
Greatest Common Factor
We found the factors 448,8588 . The biggest common factor number is the GCF number.
So the greatest common factor 448,8588 is 4.
Lets's calculate LCM of 614,4630
2 | 614, 4630 |
307, 2315 |
∴ So the LCM of the given numbers is 2 x 307 x 2315 = 1421410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1421410
Therefore, the GCF of Fractions 448/614,8588/4630 is 4/1421410
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 614,4630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,4630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,4630) x common factors =2 x 1 = 2
LCM(614,4630) = ( 614 × 4630 ) / 2
LCM(614,4630) = 2842820 / 2
LCM(614,4630) = 1421410
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 448,8588?
The HCF of 448,8588 is 4
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 448/614, 8588/4630?
Answer: GCF of Numerators as per given numbers 448/614, 8588/4630 is
GCF of Numerators i.e. for 448,8588 is 4
LCM of denominators i.e. for 614,4630 is 1421410.
Thus, GCF of Fractions is 4/1421410.Finally, GCF of Fractions for 448/614, 8588/4630 is 4/1421410.