Use our free GCF of Fractions Calculator tool to compute the GCF of 364/168, 731/818 i.e 1/68712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 364/168, 731/818.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 364/168,731/818
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 364/168,731/818, numerators are 364,731
Denominators are 168,818
The GCF of 364,731 is 1 .
LCM of 168,818 is 68712.
The greatest common factor of 364/168,731/818 = [GCF of 364,731]/[LCM of 168,818]= 1/68712
Therefore, the GCF of 364/168,731/818 is 1/68712.
To find the highest common factor of 364,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The factors of 731 are 1, 17, 43, 731
The HCF of 364,731 is 1.
Lets's calculate GCF of 364,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 364,731 . The biggest common factor number is the GCF number.
So the greatest common factor 364,731 is 1.
Lets's calculate LCM of 168,818
2 | 168, 818 |
84, 409 |
∴ So the LCM of the given numbers is 2 x 84 x 409 = 68712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68712
Therefore, the GCF of Fractions 364/168,731/818 is 1/68712
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 168,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,818) x common factors =2 x 1 = 2
LCM(168,818) = ( 168 × 818 ) / 2
LCM(168,818) = 137424 / 2
LCM(168,818) = 68712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 364,731?
The HCF of 364,731 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 364/168, 731/818?
Answer: GCF of Numerators as per given numbers 364/168, 731/818 is
GCF of Numerators i.e. for 364,731 is 1
LCM of denominators i.e. for 168,818 is 68712.
Thus, GCF of Fractions is 1/68712.Finally, GCF of Fractions for 364/168, 731/818 is 1/68712.