Use our free GCF of Fractions Calculator tool to compute the GCF of 638/174, 473/973 i.e 11/169302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 638/174, 473/973.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 638/174,473/973
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 638/174,473/973, numerators are 638,473
Denominators are 174,973
The GCF of 638,473 is 11 .
LCM of 174,973 is 169302.
The greatest common factor of 638/174,473/973 = [GCF of 638,473]/[LCM of 174,973]= 11/169302
Therefore, the GCF of 638/174,473/973 is 11/169302.
To find the highest common factor of 638,473, we have to find the factors of both numbers and list the highest common factor.
The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638
The factors of 473 are 1, 11, 43, 473
The HCF of 638,473 is 11.
Lets's calculate GCF of 638,473
11 | 638, 473 |
58, 43 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 638
:1,2,11,22,29,58,319,638
Now, list down the factors of 473
:1,11,43,473
Greatest Common Factor
We found the factors 638,473 . The biggest common factor number is the GCF number.
So the greatest common factor 638,473 is 11.
Lets's calculate LCM of 174,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 169302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/169302
Therefore, the GCF of Fractions 638/174,473/973 is 11/169302
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 174,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(174,973) x common factors =1 x 1 = 1
LCM(174,973) = ( 174 × 973 ) / 1
LCM(174,973) = 169302 / 1
LCM(174,973) = 169302
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 638,473?
The HCF of 638,473 is 11
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 638/174, 473/973?
Answer: GCF of Numerators as per given numbers 638/174, 473/973 is
GCF of Numerators i.e. for 638,473 is 11
LCM of denominators i.e. for 174,973 is 169302.
Thus, GCF of Fractions is 11/169302.Finally, GCF of Fractions for 638/174, 473/973 is 11/169302.