Use our free GCF of Fractions Calculator tool to compute the GCF of 298/807, 256/860 i.e 2/694020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 298/807, 256/860.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 298/807,256/860
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 298/807,256/860, numerators are 298,256
Denominators are 807,860
The GCF of 298,256 is 2 .
LCM of 807,860 is 694020.
The greatest common factor of 298/807,256/860 = [GCF of 298,256]/[LCM of 807,860]= 2/694020
Therefore, the GCF of 298/807,256/860 is 2/694020.
To find the highest common factor of 298,256, we have to find the factors of both numbers and list the highest common factor.
The factors of 298 are 1, 2, 149, 298
The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256
The HCF of 298,256 is 2.
Lets's calculate GCF of 298,256
2 | 298, 256 |
149, 128 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 298
:1,2,149,298
Now, list down the factors of 256
:1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 298,256 . The biggest common factor number is the GCF number.
So the greatest common factor 298,256 is 2.
Lets's calculate LCM of 807,860
Given numbers has no common factors except 1. So, there LCM is their product i.e 694020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/694020
Therefore, the GCF of Fractions 298/807,256/860 is 2/694020
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 807,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,860) x common factors =1 x 1 = 1
LCM(807,860) = ( 807 × 860 ) / 1
LCM(807,860) = 694020 / 1
LCM(807,860) = 694020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 298,256?
The HCF of 298,256 is 2
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 298/807, 256/860?
Answer: GCF of Numerators as per given numbers 298/807, 256/860 is
GCF of Numerators i.e. for 298,256 is 2
LCM of denominators i.e. for 807,860 is 694020.
Thus, GCF of Fractions is 2/694020.Finally, GCF of Fractions for 298/807, 256/860 is 2/694020.