Use our free GCF of Fractions Calculator tool to compute the GCF of 2283/284, 7893/8371 i.e 3/2377364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2283/284, 7893/8371.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2283/284,7893/8371
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 2283/284,7893/8371, numerators are 2283,7893
Denominators are 284,8371
The GCF of 2283,7893 is 3 .
LCM of 284,8371 is 2377364.
The greatest common factor of 2283/284,7893/8371 = [GCF of 2283,7893]/[LCM of 284,8371]= 3/2377364
Therefore, the GCF of 2283/284,7893/8371 is 3/2377364.
To find the highest common factor of 2283,7893, we have to find the factors of both numbers and list the highest common factor.
The factors of 2283 are 1, 3, 761, 2283
The factors of 7893 are 1, 3, 9, 877, 2631, 7893
The HCF of 2283,7893 is 3.
Lets's calculate GCF of 2283,7893
3 | 2283, 7893 |
761, 2631 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 2283
:1,3,761,2283
Now, list down the factors of 7893
:1,3,9,877,2631,7893
Greatest Common Factor
We found the factors 2283,7893 . The biggest common factor number is the GCF number.
So the greatest common factor 2283,7893 is 3.
Lets's calculate LCM of 284,8371
Given numbers has no common factors except 1. So, there LCM is their product i.e 2377364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2377364
Therefore, the GCF of Fractions 2283/284,7893/8371 is 3/2377364
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 284,8371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,8371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,8371) x common factors =1 x 1 = 1
LCM(284,8371) = ( 284 × 8371 ) / 1
LCM(284,8371) = 2377364 / 1
LCM(284,8371) = 2377364
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2283,7893?
The HCF of 2283,7893 is 3
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 2283/284, 7893/8371?
Answer: GCF of Numerators as per given numbers 2283/284, 7893/8371 is
GCF of Numerators i.e. for 2283,7893 is 3
LCM of denominators i.e. for 284,8371 is 2377364.
Thus, GCF of Fractions is 3/2377364.Finally, GCF of Fractions for 2283/284, 7893/8371 is 3/2377364.