Use our free GCF of Fractions Calculator tool to compute the GCF of 988/528, 728/117 i.e 52/20592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 988/528, 728/117.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 988/528,728/117
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 988/528,728/117, numerators are 988,728
Denominators are 528,117
The GCF of 988,728 is 52 .
LCM of 528,117 is 20592.
The greatest common factor of 988/528,728/117 = [GCF of 988,728]/[LCM of 528,117]= 52/20592
Therefore, the GCF of 988/528,728/117 is 52/20592.
To find the highest common factor of 988,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 988,728 is 52.
Lets's calculate GCF of 988,728
2 | 988, 728 |
2 | 494, 364 |
13 | 247, 182 |
19, 14 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 988,728 . The biggest common factor number is the GCF number.
So the greatest common factor 988,728 is 52.
Lets's calculate LCM of 528,117
3 | 528, 117 |
176, 39 |
∴ So the LCM of the given numbers is 3 x 176 x 39 = 20592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/20592
Therefore, the GCF of Fractions 988/528,728/117 is 52/20592
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 528,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(528,117) x common factors =3 x 1 = 3
LCM(528,117) = ( 528 × 117 ) / 3
LCM(528,117) = 61776 / 3
LCM(528,117) = 20592
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 988,728?
The HCF of 988,728 is 52
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 988/528, 728/117?
Answer: GCF of Numerators as per given numbers 988/528, 728/117 is
GCF of Numerators i.e. for 988,728 is 52
LCM of denominators i.e. for 528,117 is 20592.
Thus, GCF of Fractions is 52/20592.Finally, GCF of Fractions for 988/528, 728/117 is 52/20592.