Use our free GCF of Fractions Calculator tool to compute the GCF of 5334/282, 1301/4314 i.e 1/202758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5334/282, 1301/4314.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5334/282,1301/4314
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 5334/282,1301/4314, numerators are 5334,1301
Denominators are 282,4314
The GCF of 5334,1301 is 1 .
LCM of 282,4314 is 202758.
The greatest common factor of 5334/282,1301/4314 = [GCF of 5334,1301]/[LCM of 282,4314]= 1/202758
Therefore, the GCF of 5334/282,1301/4314 is 1/202758.
To find the highest common factor of 5334,1301, we have to find the factors of both numbers and list the highest common factor.
The factors of 5334 are 1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334
The factors of 1301 are 1, 1301
The HCF of 5334,1301 is 1.
Lets's calculate GCF of 5334,1301
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5334
:1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334
Now, list down the factors of 1301
:1,1301
Greatest Common Factor
We found the factors 5334,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 5334,1301 is 1.
Lets's calculate LCM of 282,4314
2 | 282, 4314 |
3 | 141, 2157 |
47, 719 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 719 = 202758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202758
Therefore, the GCF of Fractions 5334/282,1301/4314 is 1/202758
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 282,4314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,4314) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(282,4314) x common factors =6 x 1 = 6
LCM(282,4314) = ( 282 × 4314 ) / 6
LCM(282,4314) = 1216548 / 6
LCM(282,4314) = 202758
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5334,1301?
The HCF of 5334,1301 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 5334/282, 1301/4314?
Answer: GCF of Numerators as per given numbers 5334/282, 1301/4314 is
GCF of Numerators i.e. for 5334,1301 is 1
LCM of denominators i.e. for 282,4314 is 202758.
Thus, GCF of Fractions is 1/202758.Finally, GCF of Fractions for 5334/282, 1301/4314 is 1/202758.