Use our free GCF of Fractions Calculator tool to compute the GCF of 4875/968, 6580/1178 i.e 5/570152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4875/968, 6580/1178.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4875/968,6580/1178
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 4875/968,6580/1178, numerators are 4875,6580
Denominators are 968,1178
The GCF of 4875,6580 is 5 .
LCM of 968,1178 is 570152.
The greatest common factor of 4875/968,6580/1178 = [GCF of 4875,6580]/[LCM of 968,1178]= 5/570152
Therefore, the GCF of 4875/968,6580/1178 is 5/570152.
To find the highest common factor of 4875,6580, we have to find the factors of both numbers and list the highest common factor.
The factors of 4875 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 125, 195, 325, 375, 975, 1625, 4875
The factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580
The HCF of 4875,6580 is 5.
Lets's calculate GCF of 4875,6580
5 | 4875, 6580 |
975, 1316 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 4875
:1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875
Now, list down the factors of 6580
:1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580
Greatest Common Factor
We found the factors 4875,6580 . The biggest common factor number is the GCF number.
So the greatest common factor 4875,6580 is 5.
Lets's calculate LCM of 968,1178
2 | 968, 1178 |
484, 589 |
∴ So the LCM of the given numbers is 2 x 484 x 589 = 570152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/570152
Therefore, the GCF of Fractions 4875/968,6580/1178 is 5/570152
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 968,1178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,1178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(968,1178) x common factors =2 x 1 = 2
LCM(968,1178) = ( 968 × 1178 ) / 2
LCM(968,1178) = 1140304 / 2
LCM(968,1178) = 570152
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4875,6580?
The HCF of 4875,6580 is 5
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 4875/968, 6580/1178?
Answer: GCF of Numerators as per given numbers 4875/968, 6580/1178 is
GCF of Numerators i.e. for 4875,6580 is 5
LCM of denominators i.e. for 968,1178 is 570152.
Thus, GCF of Fractions is 5/570152.Finally, GCF of Fractions for 4875/968, 6580/1178 is 5/570152.