Use our free GCF of Fractions Calculator tool to compute the GCF of 2983/235, 9942/1413 i.e 1/332055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2983/235, 9942/1413.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2983/235,9942/1413
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 2983/235,9942/1413, numerators are 2983,9942
Denominators are 235,1413
The GCF of 2983,9942 is 1 .
LCM of 235,1413 is 332055.
The greatest common factor of 2983/235,9942/1413 = [GCF of 2983,9942]/[LCM of 235,1413]= 1/332055
Therefore, the GCF of 2983/235,9942/1413 is 1/332055.
To find the highest common factor of 2983,9942, we have to find the factors of both numbers and list the highest common factor.
The factors of 2983 are 1, 19, 157, 2983
The factors of 9942 are 1, 2, 3, 6, 1657, 3314, 4971, 9942
The HCF of 2983,9942 is 1.
Lets's calculate GCF of 2983,9942
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2983
:1,19,157,2983
Now, list down the factors of 9942
:1,2,3,6,1657,3314,4971,9942
Greatest Common Factor
We found the factors 2983,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 2983,9942 is 1.
Lets's calculate LCM of 235,1413
Given numbers has no common factors except 1. So, there LCM is their product i.e 332055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332055
Therefore, the GCF of Fractions 2983/235,9942/1413 is 1/332055
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 235,1413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,1413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,1413) x common factors =1 x 1 = 1
LCM(235,1413) = ( 235 × 1413 ) / 1
LCM(235,1413) = 332055 / 1
LCM(235,1413) = 332055
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2983,9942?
The HCF of 2983,9942 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 2983/235, 9942/1413?
Answer: GCF of Numerators as per given numbers 2983/235, 9942/1413 is
GCF of Numerators i.e. for 2983,9942 is 1
LCM of denominators i.e. for 235,1413 is 332055.
Thus, GCF of Fractions is 1/332055.Finally, GCF of Fractions for 2983/235, 9942/1413 is 1/332055.