Use our free GCF of Fractions Calculator tool to compute the GCF of 847/904, 280/204 i.e 7/46104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 847/904, 280/204.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 847/904,280/204
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 847/904,280/204, numerators are 847,280
Denominators are 904,204
The GCF of 847,280 is 7 .
LCM of 904,204 is 46104.
The greatest common factor of 847/904,280/204 = [GCF of 847,280]/[LCM of 904,204]= 7/46104
Therefore, the GCF of 847/904,280/204 is 7/46104.
To find the highest common factor of 847,280, we have to find the factors of both numbers and list the highest common factor.
The factors of 847 are 1, 7, 11, 77, 121, 847
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The HCF of 847,280 is 7.
Lets's calculate GCF of 847,280
7 | 847, 280 |
121, 40 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 847
:1,7,11,77,121,847
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 847,280 . The biggest common factor number is the GCF number.
So the greatest common factor 847,280 is 7.
Lets's calculate LCM of 904,204
2 | 904, 204 |
2 | 452, 102 |
226, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 226 x 51 = 46104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/46104
Therefore, the GCF of Fractions 847/904,280/204 is 7/46104
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 904,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,204) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(904,204) x common factors =4 x 1 = 4
LCM(904,204) = ( 904 × 204 ) / 4
LCM(904,204) = 184416 / 4
LCM(904,204) = 46104
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 847,280?
The HCF of 847,280 is 7
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 847/904, 280/204?
Answer: GCF of Numerators as per given numbers 847/904, 280/204 is
GCF of Numerators i.e. for 847,280 is 7
LCM of denominators i.e. for 904,204 is 46104.
Thus, GCF of Fractions is 7/46104.Finally, GCF of Fractions for 847/904, 280/204 is 7/46104.