Use our free GCF of Fractions Calculator tool to compute the GCF of 781/843, 770/192 i.e 11/53952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 781/843, 770/192.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 781/843,770/192
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 781/843,770/192, numerators are 781,770
Denominators are 843,192
The GCF of 781,770 is 11 .
LCM of 843,192 is 53952.
The greatest common factor of 781/843,770/192 = [GCF of 781,770]/[LCM of 843,192]= 11/53952
Therefore, the GCF of 781/843,770/192 is 11/53952.
To find the highest common factor of 781,770, we have to find the factors of both numbers and list the highest common factor.
The factors of 781 are 1, 11, 71, 781
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The HCF of 781,770 is 11.
Lets's calculate GCF of 781,770
11 | 781, 770 |
71, 70 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 781
:1,11,71,781
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Greatest Common Factor
We found the factors 781,770 . The biggest common factor number is the GCF number.
So the greatest common factor 781,770 is 11.
Lets's calculate LCM of 843,192
3 | 843, 192 |
281, 64 |
∴ So the LCM of the given numbers is 3 x 281 x 64 = 53952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/53952
Therefore, the GCF of Fractions 781/843,770/192 is 11/53952
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 843,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,192) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(843,192) x common factors =3 x 1 = 3
LCM(843,192) = ( 843 × 192 ) / 3
LCM(843,192) = 161856 / 3
LCM(843,192) = 53952
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 781,770?
The HCF of 781,770 is 11
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 781/843, 770/192?
Answer: GCF of Numerators as per given numbers 781/843, 770/192 is
GCF of Numerators i.e. for 781,770 is 11
LCM of denominators i.e. for 843,192 is 53952.
Thus, GCF of Fractions is 11/53952.Finally, GCF of Fractions for 781/843, 770/192 is 11/53952.