Use our free GCF of Fractions Calculator tool to compute the GCF of 788/942, 711/148 i.e 1/69708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 788/942, 711/148.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 788/942,711/148
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 788/942,711/148, numerators are 788,711
Denominators are 942,148
The GCF of 788,711 is 1 .
LCM of 942,148 is 69708.
The greatest common factor of 788/942,711/148 = [GCF of 788,711]/[LCM of 942,148]= 1/69708
Therefore, the GCF of 788/942,711/148 is 1/69708.
To find the highest common factor of 788,711, we have to find the factors of both numbers and list the highest common factor.
The factors of 788 are 1, 2, 4, 197, 394, 788
The factors of 711 are 1, 3, 9, 79, 237, 711
The HCF of 788,711 is 1.
Lets's calculate GCF of 788,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 788
:1,2,4,197,394,788
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 788,711 . The biggest common factor number is the GCF number.
So the greatest common factor 788,711 is 1.
Lets's calculate LCM of 942,148
2 | 942, 148 |
471, 74 |
∴ So the LCM of the given numbers is 2 x 471 x 74 = 69708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69708
Therefore, the GCF of Fractions 788/942,711/148 is 1/69708
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 942,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,148) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,148) x common factors =2 x 1 = 2
LCM(942,148) = ( 942 × 148 ) / 2
LCM(942,148) = 139416 / 2
LCM(942,148) = 69708
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 788,711?
The HCF of 788,711 is 1
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 788/942, 711/148?
Answer: GCF of Numerators as per given numbers 788/942, 711/148 is
GCF of Numerators i.e. for 788,711 is 1
LCM of denominators i.e. for 942,148 is 69708.
Thus, GCF of Fractions is 1/69708.Finally, GCF of Fractions for 788/942, 711/148 is 1/69708.