Use our free GCF of Fractions Calculator tool to compute the GCF of 43/782, 58/8816 i.e 1/3447056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/782, 58/8816.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/782,58/8816
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 43/782,58/8816, numerators are 43,58
Denominators are 782,8816
The GCF of 43,58 is 1 .
LCM of 782,8816 is 3447056.
The greatest common factor of 43/782,58/8816 = [GCF of 43,58]/[LCM of 782,8816]= 1/3447056
Therefore, the GCF of 43/782,58/8816 is 1/3447056.
To find the highest common factor of 43,58, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 58 are 1, 2, 29, 58
The HCF of 43,58 is 1.
Lets's calculate GCF of 43,58
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 782,8816
2 | 782, 8816 |
391, 4408 |
∴ So the LCM of the given numbers is 2 x 391 x 4408 = 3447056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3447056
Therefore, the GCF of Fractions 43/782,58/8816 is 1/3447056
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 782,8816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,8816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,8816) x common factors =2 x 1 = 2
LCM(782,8816) = ( 782 × 8816 ) / 2
LCM(782,8816) = 6894112 / 2
LCM(782,8816) = 3447056
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 43,58?
The HCF of 43,58 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 43/782, 58/8816?
Answer: GCF of Numerators as per given numbers 43/782, 58/8816 is
GCF of Numerators i.e. for 43,58 is 1
LCM of denominators i.e. for 782,8816 is 3447056.
Thus, GCF of Fractions is 1/3447056.Finally, GCF of Fractions for 43/782, 58/8816 is 1/3447056.