Use our free GCF of Fractions Calculator tool to compute the GCF of 7764/284, 8898/3125 i.e 6/887500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7764/284, 8898/3125.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7764/284,8898/3125
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 7764/284,8898/3125, numerators are 7764,8898
Denominators are 284,3125
The GCF of 7764,8898 is 6 .
LCM of 284,3125 is 887500.
The greatest common factor of 7764/284,8898/3125 = [GCF of 7764,8898]/[LCM of 284,3125]= 6/887500
Therefore, the GCF of 7764/284,8898/3125 is 6/887500.
To find the highest common factor of 7764,8898, we have to find the factors of both numbers and list the highest common factor.
The factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764
The factors of 8898 are 1, 2, 3, 6, 1483, 2966, 4449, 8898
The HCF of 7764,8898 is 6.
Lets's calculate GCF of 7764,8898
2 | 7764, 8898 |
3 | 3882, 4449 |
1294, 1483 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 7764
:1,2,3,4,6,12,647,1294,1941,2588,3882,7764
Now, list down the factors of 8898
:1,2,3,6,1483,2966,4449,8898
Greatest Common Factor
We found the factors 7764,8898 . The biggest common factor number is the GCF number.
So the greatest common factor 7764,8898 is 6.
Lets's calculate LCM of 284,3125
Given numbers has no common factors except 1. So, there LCM is their product i.e 887500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/887500
Therefore, the GCF of Fractions 7764/284,8898/3125 is 6/887500
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 284,3125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,3125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,3125) x common factors =1 x 1 = 1
LCM(284,3125) = ( 284 × 3125 ) / 1
LCM(284,3125) = 887500 / 1
LCM(284,3125) = 887500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7764,8898?
The HCF of 7764,8898 is 6
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 7764/284, 8898/3125?
Answer: GCF of Numerators as per given numbers 7764/284, 8898/3125 is
GCF of Numerators i.e. for 7764,8898 is 6
LCM of denominators i.e. for 284,3125 is 887500.
Thus, GCF of Fractions is 6/887500.Finally, GCF of Fractions for 7764/284, 8898/3125 is 6/887500.