Use our free GCF of Fractions Calculator tool to compute the GCF of 303/816, 748/537 i.e 1/146064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/816, 748/537.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 303/816,748/537
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 303/816,748/537, numerators are 303,748
Denominators are 816,537
The GCF of 303,748 is 1 .
LCM of 816,537 is 146064.
The greatest common factor of 303/816,748/537 = [GCF of 303,748]/[LCM of 816,537]= 1/146064
Therefore, the GCF of 303/816,748/537 is 1/146064.
To find the highest common factor of 303,748, we have to find the factors of both numbers and list the highest common factor.
The factors of 303 are 1, 3, 101, 303
The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
The HCF of 303,748 is 1.
Lets's calculate GCF of 303,748
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 748
:1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 303,748 . The biggest common factor number is the GCF number.
So the greatest common factor 303,748 is 1.
Lets's calculate LCM of 816,537
3 | 816, 537 |
272, 179 |
∴ So the LCM of the given numbers is 3 x 272 x 179 = 146064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146064
Therefore, the GCF of Fractions 303/816,748/537 is 1/146064
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 816,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,537) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(816,537) x common factors =3 x 1 = 3
LCM(816,537) = ( 816 × 537 ) / 3
LCM(816,537) = 438192 / 3
LCM(816,537) = 146064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 303,748?
The HCF of 303,748 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 303/816, 748/537?
Answer: GCF of Numerators as per given numbers 303/816, 748/537 is
GCF of Numerators i.e. for 303,748 is 1
LCM of denominators i.e. for 816,537 is 146064.
Thus, GCF of Fractions is 1/146064.Finally, GCF of Fractions for 303/816, 748/537 is 1/146064.