Use our free GCF of Fractions Calculator tool to compute the GCF of 932/434, 120/298 i.e 4/64666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 932/434, 120/298.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 932/434,120/298
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 932/434,120/298, numerators are 932,120
Denominators are 434,298
The GCF of 932,120 is 4 .
LCM of 434,298 is 64666.
The greatest common factor of 932/434,120/298 = [GCF of 932,120]/[LCM of 434,298]= 4/64666
Therefore, the GCF of 932/434,120/298 is 4/64666.
To find the highest common factor of 932,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 932 are 1, 2, 4, 233, 466, 932
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 932,120 is 4.
Lets's calculate GCF of 932,120
2 | 932, 120 |
2 | 466, 60 |
233, 30 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 932
:1,2,4,233,466,932
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 932,120 . The biggest common factor number is the GCF number.
So the greatest common factor 932,120 is 4.
Lets's calculate LCM of 434,298
2 | 434, 298 |
217, 149 |
∴ So the LCM of the given numbers is 2 x 217 x 149 = 64666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/64666
Therefore, the GCF of Fractions 932/434,120/298 is 4/64666
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 434,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,298) x common factors =2 x 1 = 2
LCM(434,298) = ( 434 × 298 ) / 2
LCM(434,298) = 129332 / 2
LCM(434,298) = 64666
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 932,120?
The HCF of 932,120 is 4
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 932/434, 120/298?
Answer: GCF of Numerators as per given numbers 932/434, 120/298 is
GCF of Numerators i.e. for 932,120 is 4
LCM of denominators i.e. for 434,298 is 64666.
Thus, GCF of Fractions is 4/64666.Finally, GCF of Fractions for 932/434, 120/298 is 4/64666.