Use our free GCF of Fractions Calculator tool to compute the GCF of 4880/719, 1159/498 i.e 61/358062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4880/719, 1159/498.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4880/719,1159/498
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 4880/719,1159/498, numerators are 4880,1159
Denominators are 719,498
The GCF of 4880,1159 is 61 .
LCM of 719,498 is 358062.
The greatest common factor of 4880/719,1159/498 = [GCF of 4880,1159]/[LCM of 719,498]= 61/358062
Therefore, the GCF of 4880/719,1159/498 is 61/358062.
To find the highest common factor of 4880,1159, we have to find the factors of both numbers and list the highest common factor.
The factors of 4880 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880
The factors of 1159 are 1, 19, 61, 1159
The HCF of 4880,1159 is 61.
Lets's calculate GCF of 4880,1159
61 | 4880, 1159 |
80, 19 |
∴ So the GCF of the given numbers is 61 = 61
Now, list down the factors of 4880
:1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880
Now, list down the factors of 1159
:1,19,61,1159
Greatest Common Factor
We found the factors 4880,1159 . The biggest common factor number is the GCF number.
So the greatest common factor 4880,1159 is 61.
Lets's calculate LCM of 719,498
Given numbers has no common factors except 1. So, there LCM is their product i.e 358062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/358062
Therefore, the GCF of Fractions 4880/719,1159/498 is 61/358062
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 719,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,498) x common factors =1 x 1 = 1
LCM(719,498) = ( 719 × 498 ) / 1
LCM(719,498) = 358062 / 1
LCM(719,498) = 358062
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4880,1159?
The HCF of 4880,1159 is 61
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 4880/719, 1159/498?
Answer: GCF of Numerators as per given numbers 4880/719, 1159/498 is
GCF of Numerators i.e. for 4880,1159 is 61
LCM of denominators i.e. for 719,498 is 358062.
Thus, GCF of Fractions is 61/358062.Finally, GCF of Fractions for 4880/719, 1159/498 is 61/358062.