Use our free GCF of Fractions Calculator tool to compute the GCF of 472/906, 794/548 i.e 2/248244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 472/906, 794/548.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 472/906,794/548
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 472/906,794/548, numerators are 472,794
Denominators are 906,548
The GCF of 472,794 is 2 .
LCM of 906,548 is 248244.
The greatest common factor of 472/906,794/548 = [GCF of 472,794]/[LCM of 906,548]= 2/248244
Therefore, the GCF of 472/906,794/548 is 2/248244.
To find the highest common factor of 472,794, we have to find the factors of both numbers and list the highest common factor.
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472
The factors of 794 are 1, 2, 397, 794
The HCF of 472,794 is 2.
Lets's calculate GCF of 472,794
2 | 472, 794 |
236, 397 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 472
:1,2,4,8,59,118,236,472
Now, list down the factors of 794
:1,2,397,794
Greatest Common Factor
We found the factors 472,794 . The biggest common factor number is the GCF number.
So the greatest common factor 472,794 is 2.
Lets's calculate LCM of 906,548
2 | 906, 548 |
453, 274 |
∴ So the LCM of the given numbers is 2 x 453 x 274 = 248244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/248244
Therefore, the GCF of Fractions 472/906,794/548 is 2/248244
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 906,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,548) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(906,548) x common factors =2 x 1 = 2
LCM(906,548) = ( 906 × 548 ) / 2
LCM(906,548) = 496488 / 2
LCM(906,548) = 248244
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 472,794?
The HCF of 472,794 is 2
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 472/906, 794/548?
Answer: GCF of Numerators as per given numbers 472/906, 794/548 is
GCF of Numerators i.e. for 472,794 is 2
LCM of denominators i.e. for 906,548 is 248244.
Thus, GCF of Fractions is 2/248244.Finally, GCF of Fractions for 472/906, 794/548 is 2/248244.