Use our free GCF of Fractions Calculator tool to compute the GCF of 58/703, 29/8554 i.e 29/6013462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/703, 29/8554.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/703,29/8554
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 58/703,29/8554, numerators are 58,29
Denominators are 703,8554
The GCF of 58,29 is 29 .
LCM of 703,8554 is 6013462.
The greatest common factor of 58/703,29/8554 = [GCF of 58,29]/[LCM of 703,8554]= 29/6013462
Therefore, the GCF of 58/703,29/8554 is 29/6013462.
To find the highest common factor of 58,29, 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 29 are 1, 29
The HCF of 58,29 is 29.
Lets's calculate GCF of 58,29
29 | 58, 29 |
2, 1 |
∴ So the GCF of the given numbers is 29 = 29
Lets's calculate LCM of 703,8554
Given numbers has no common factors except 1. So, there LCM is their product i.e 6013462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/6013462
Therefore, the GCF of Fractions 58/703,29/8554 is 29/6013462
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 703,8554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,8554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,8554) x common factors =1 x 1 = 1
LCM(703,8554) = ( 703 × 8554 ) / 1
LCM(703,8554) = 6013462 / 1
LCM(703,8554) = 6013462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 58,29?
The HCF of 58,29 is 29
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 58/703, 29/8554?
Answer: GCF of Numerators as per given numbers 58/703, 29/8554 is
GCF of Numerators i.e. for 58,29 is 29
LCM of denominators i.e. for 703,8554 is 6013462.
Thus, GCF of Fractions is 29/6013462.Finally, GCF of Fractions for 58/703, 29/8554 is 29/6013462.