Use our free GCF of Fractions Calculator tool to compute the GCF of 708/122, 906/904 i.e 6/55144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 708/122, 906/904.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 708/122,906/904
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 708/122,906/904, numerators are 708,906
Denominators are 122,904
The GCF of 708,906 is 6 .
LCM of 122,904 is 55144.
The greatest common factor of 708/122,906/904 = [GCF of 708,906]/[LCM of 122,904]= 6/55144
Therefore, the GCF of 708/122,906/904 is 6/55144.
To find the highest common factor of 708,906, we have to find the factors of both numbers and list the highest common factor.
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906
The HCF of 708,906 is 6.
Lets's calculate GCF of 708,906
2 | 708, 906 |
3 | 354, 453 |
118, 151 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Now, list down the factors of 906
:1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 708,906 . The biggest common factor number is the GCF number.
So the greatest common factor 708,906 is 6.
Lets's calculate LCM of 122,904
2 | 122, 904 |
61, 452 |
∴ So the LCM of the given numbers is 2 x 61 x 452 = 55144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/55144
Therefore, the GCF of Fractions 708/122,906/904 is 6/55144
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 122,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,904) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,904) x common factors =2 x 1 = 2
LCM(122,904) = ( 122 × 904 ) / 2
LCM(122,904) = 110288 / 2
LCM(122,904) = 55144
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 708,906?
The HCF of 708,906 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 708/122, 906/904?
Answer: GCF of Numerators as per given numbers 708/122, 906/904 is
GCF of Numerators i.e. for 708,906 is 6
LCM of denominators i.e. for 122,904 is 55144.
Thus, GCF of Fractions is 6/55144.Finally, GCF of Fractions for 708/122, 906/904 is 6/55144.