Use our free GCF of Fractions Calculator tool to compute the GCF of 58/232, 89/4688 i.e 1/135952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/232, 89/4688.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/232,89/4688
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 58/232,89/4688, numerators are 58,89
Denominators are 232,4688
The GCF of 58,89 is 1 .
LCM of 232,4688 is 135952.
The greatest common factor of 58/232,89/4688 = [GCF of 58,89]/[LCM of 232,4688]= 1/135952
Therefore, the GCF of 58/232,89/4688 is 1/135952.
To find the highest common factor of 58,89, we have to find the factors of both numbers and list the highest common factor.
The factors of 58 are 1, 2, 29, 58
The factors of 89 are 1, 89
The HCF of 58,89 is 1.
Lets's calculate GCF of 58,89
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 232,4688
2 | 232, 4688 |
2 | 116, 2344 |
2 | 58, 1172 |
29, 586 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 586 = 135952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135952
Therefore, the GCF of Fractions 58/232,89/4688 is 1/135952
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 232,4688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,4688) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(232,4688) x common factors =8 x 1 = 8
LCM(232,4688) = ( 232 × 4688 ) / 8
LCM(232,4688) = 1087616 / 8
LCM(232,4688) = 135952
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 58,89?
The HCF of 58,89 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 58/232, 89/4688?
Answer: GCF of Numerators as per given numbers 58/232, 89/4688 is
GCF of Numerators i.e. for 58,89 is 1
LCM of denominators i.e. for 232,4688 is 135952.
Thus, GCF of Fractions is 1/135952.Finally, GCF of Fractions for 58/232, 89/4688 is 1/135952.