Use our free GCF of Fractions Calculator tool to compute the GCF of 7265/454, 5310/6044 i.e 5/1371988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7265/454, 5310/6044.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7265/454,5310/6044
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 7265/454,5310/6044, numerators are 7265,5310
Denominators are 454,6044
The GCF of 7265,5310 is 5 .
LCM of 454,6044 is 1371988.
The greatest common factor of 7265/454,5310/6044 = [GCF of 7265,5310]/[LCM of 454,6044]= 5/1371988
Therefore, the GCF of 7265/454,5310/6044 is 5/1371988.
To find the highest common factor of 7265,5310, we have to find the factors of both numbers and list the highest common factor.
The factors of 7265 are 1, 5, 1453, 7265
The factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310
The HCF of 7265,5310 is 5.
Lets's calculate GCF of 7265,5310
5 | 7265, 5310 |
1453, 1062 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 7265
:1,5,1453,7265
Now, list down the factors of 5310
:1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310
Greatest Common Factor
We found the factors 7265,5310 . The biggest common factor number is the GCF number.
So the greatest common factor 7265,5310 is 5.
Lets's calculate LCM of 454,6044
2 | 454, 6044 |
227, 3022 |
∴ So the LCM of the given numbers is 2 x 227 x 3022 = 1371988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1371988
Therefore, the GCF of Fractions 7265/454,5310/6044 is 5/1371988
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 454,6044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,6044) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,6044) x common factors =2 x 1 = 2
LCM(454,6044) = ( 454 × 6044 ) / 2
LCM(454,6044) = 2743976 / 2
LCM(454,6044) = 1371988
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7265,5310?
The HCF of 7265,5310 is 5
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 7265/454, 5310/6044?
Answer: GCF of Numerators as per given numbers 7265/454, 5310/6044 is
GCF of Numerators i.e. for 7265,5310 is 5
LCM of denominators i.e. for 454,6044 is 1371988.
Thus, GCF of Fractions is 5/1371988.Finally, GCF of Fractions for 7265/454, 5310/6044 is 5/1371988.