Use our free GCF of Fractions Calculator tool to compute the GCF of 758/838, 470/192 i.e 2/80448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/838, 470/192.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 758/838,470/192
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 758/838,470/192, numerators are 758,470
Denominators are 838,192
The GCF of 758,470 is 2 .
LCM of 838,192 is 80448.
The greatest common factor of 758/838,470/192 = [GCF of 758,470]/[LCM of 838,192]= 2/80448
Therefore, the GCF of 758/838,470/192 is 2/80448.
To find the highest common factor of 758,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 758,470 is 2.
Lets's calculate GCF of 758,470
2 | 758, 470 |
379, 235 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 758,470 . The biggest common factor number is the GCF number.
So the greatest common factor 758,470 is 2.
Lets's calculate LCM of 838,192
2 | 838, 192 |
419, 96 |
∴ So the LCM of the given numbers is 2 x 419 x 96 = 80448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80448
Therefore, the GCF of Fractions 758/838,470/192 is 2/80448
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 838,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,192) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,192) x common factors =2 x 1 = 2
LCM(838,192) = ( 838 × 192 ) / 2
LCM(838,192) = 160896 / 2
LCM(838,192) = 80448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 758,470?
The HCF of 758,470 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 758/838, 470/192?
Answer: GCF of Numerators as per given numbers 758/838, 470/192 is
GCF of Numerators i.e. for 758,470 is 2
LCM of denominators i.e. for 838,192 is 80448.
Thus, GCF of Fractions is 2/80448.Finally, GCF of Fractions for 758/838, 470/192 is 2/80448.