Use our free GCF of Fractions Calculator tool to compute the GCF of 4010/442, 4772/5492 i.e 2/1213732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4010/442, 4772/5492.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4010/442,4772/5492
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 4010/442,4772/5492, numerators are 4010,4772
Denominators are 442,5492
The GCF of 4010,4772 is 2 .
LCM of 442,5492 is 1213732.
The greatest common factor of 4010/442,4772/5492 = [GCF of 4010,4772]/[LCM of 442,5492]= 2/1213732
Therefore, the GCF of 4010/442,4772/5492 is 2/1213732.
To find the highest common factor of 4010,4772, we have to find the factors of both numbers and list the highest common factor.
The factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010
The factors of 4772 are 1, 2, 4, 1193, 2386, 4772
The HCF of 4010,4772 is 2.
Lets's calculate GCF of 4010,4772
2 | 4010, 4772 |
2005, 2386 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4010
:1,2,5,10,401,802,2005,4010
Now, list down the factors of 4772
:1,2,4,1193,2386,4772
Greatest Common Factor
We found the factors 4010,4772 . The biggest common factor number is the GCF number.
So the greatest common factor 4010,4772 is 2.
Lets's calculate LCM of 442,5492
2 | 442, 5492 |
221, 2746 |
∴ So the LCM of the given numbers is 2 x 221 x 2746 = 1213732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1213732
Therefore, the GCF of Fractions 4010/442,4772/5492 is 2/1213732
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 442,5492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,5492) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,5492) x common factors =2 x 1 = 2
LCM(442,5492) = ( 442 × 5492 ) / 2
LCM(442,5492) = 2427464 / 2
LCM(442,5492) = 1213732
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4010,4772?
The HCF of 4010,4772 is 2
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 4010/442, 4772/5492?
Answer: GCF of Numerators as per given numbers 4010/442, 4772/5492 is
GCF of Numerators i.e. for 4010,4772 is 2
LCM of denominators i.e. for 442,5492 is 1213732.
Thus, GCF of Fractions is 2/1213732.Finally, GCF of Fractions for 4010/442, 4772/5492 is 2/1213732.