Use our free GCF of Fractions Calculator tool to compute the GCF of 488/307, 520/199 i.e 8/61093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/307, 520/199.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 488/307,520/199
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 488/307,520/199, numerators are 488,520
Denominators are 307,199
The GCF of 488,520 is 8 .
LCM of 307,199 is 61093.
The greatest common factor of 488/307,520/199 = [GCF of 488,520]/[LCM of 307,199]= 8/61093
Therefore, the GCF of 488/307,520/199 is 8/61093.
To find the highest common factor of 488,520, we have to find the factors of both numbers and list the highest common factor.
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The HCF of 488,520 is 8.
Lets's calculate GCF of 488,520
2 | 488, 520 |
2 | 244, 260 |
2 | 122, 130 |
61, 65 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 488,520 . The biggest common factor number is the GCF number.
So the greatest common factor 488,520 is 8.
Lets's calculate LCM of 307,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 61093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/61093
Therefore, the GCF of Fractions 488/307,520/199 is 8/61093
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 307,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,199) x common factors =1 x 1 = 1
LCM(307,199) = ( 307 × 199 ) / 1
LCM(307,199) = 61093 / 1
LCM(307,199) = 61093
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 488,520?
The HCF of 488,520 is 8
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 488/307, 520/199?
Answer: GCF of Numerators as per given numbers 488/307, 520/199 is
GCF of Numerators i.e. for 488,520 is 8
LCM of denominators i.e. for 307,199 is 61093.
Thus, GCF of Fractions is 8/61093.Finally, GCF of Fractions for 488/307, 520/199 is 8/61093.