Use our free GCF of Fractions Calculator tool to compute the GCF of 49/972, 58/5333 i.e 1/5183676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/972, 58/5333.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/972,58/5333
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 49/972,58/5333, numerators are 49,58
Denominators are 972,5333
The GCF of 49,58 is 1 .
LCM of 972,5333 is 5183676.
The greatest common factor of 49/972,58/5333 = [GCF of 49,58]/[LCM of 972,5333]= 1/5183676
Therefore, the GCF of 49/972,58/5333 is 1/5183676.
To find the highest common factor of 49,58, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 58 are 1, 2, 29, 58
The HCF of 49,58 is 1.
Lets's calculate GCF of 49,58
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 972,5333
Given numbers has no common factors except 1. So, there LCM is their product i.e 5183676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5183676
Therefore, the GCF of Fractions 49/972,58/5333 is 1/5183676
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 972,5333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,5333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,5333) x common factors =1 x 1 = 1
LCM(972,5333) = ( 972 × 5333 ) / 1
LCM(972,5333) = 5183676 / 1
LCM(972,5333) = 5183676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 49,58?
The HCF of 49,58 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 49/972, 58/5333?
Answer: GCF of Numerators as per given numbers 49/972, 58/5333 is
GCF of Numerators i.e. for 49,58 is 1
LCM of denominators i.e. for 972,5333 is 5183676.
Thus, GCF of Fractions is 1/5183676.Finally, GCF of Fractions for 49/972, 58/5333 is 1/5183676.