Use our free GCF of Fractions Calculator tool to compute the GCF of 7235/224, 6508/7810 i.e 1/874720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7235/224, 6508/7810.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7235/224,6508/7810
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 7235/224,6508/7810, numerators are 7235,6508
Denominators are 224,7810
The GCF of 7235,6508 is 1 .
LCM of 224,7810 is 874720.
The greatest common factor of 7235/224,6508/7810 = [GCF of 7235,6508]/[LCM of 224,7810]= 1/874720
Therefore, the GCF of 7235/224,6508/7810 is 1/874720.
To find the highest common factor of 7235,6508, we have to find the factors of both numbers and list the highest common factor.
The factors of 7235 are 1, 5, 1447, 7235
The factors of 6508 are 1, 2, 4, 1627, 3254, 6508
The HCF of 7235,6508 is 1.
Lets's calculate GCF of 7235,6508
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7235
:1,5,1447,7235
Now, list down the factors of 6508
:1,2,4,1627,3254,6508
Greatest Common Factor
We found the factors 7235,6508 . The biggest common factor number is the GCF number.
So the greatest common factor 7235,6508 is 1.
Lets's calculate LCM of 224,7810
2 | 224, 7810 |
112, 3905 |
∴ So the LCM of the given numbers is 2 x 112 x 3905 = 874720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/874720
Therefore, the GCF of Fractions 7235/224,6508/7810 is 1/874720
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 224,7810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,7810) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(224,7810) x common factors =2 x 1 = 2
LCM(224,7810) = ( 224 × 7810 ) / 2
LCM(224,7810) = 1749440 / 2
LCM(224,7810) = 874720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7235,6508?
The HCF of 7235,6508 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 7235/224, 6508/7810?
Answer: GCF of Numerators as per given numbers 7235/224, 6508/7810 is
GCF of Numerators i.e. for 7235,6508 is 1
LCM of denominators i.e. for 224,7810 is 874720.
Thus, GCF of Fractions is 1/874720.Finally, GCF of Fractions for 7235/224, 6508/7810 is 1/874720.