Use our free GCF of Fractions Calculator tool to compute the GCF of 768/746, 966/645 i.e 6/481170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 768/746, 966/645.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 768/746,966/645
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 768/746,966/645, numerators are 768,966
Denominators are 746,645
The GCF of 768,966 is 6 .
LCM of 746,645 is 481170.
The greatest common factor of 768/746,966/645 = [GCF of 768,966]/[LCM of 746,645]= 6/481170
Therefore, the GCF of 768/746,966/645 is 6/481170.
To find the highest common factor of 768,966, we have to find the factors of both numbers and list the highest common factor.
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
The HCF of 768,966 is 6.
Lets's calculate GCF of 768,966
2 | 768, 966 |
3 | 384, 483 |
128, 161 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Now, list down the factors of 966
:1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 768,966 . The biggest common factor number is the GCF number.
So the greatest common factor 768,966 is 6.
Lets's calculate LCM of 746,645
Given numbers has no common factors except 1. So, there LCM is their product i.e 481170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/481170
Therefore, the GCF of Fractions 768/746,966/645 is 6/481170
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 746,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(746,645) x common factors =1 x 1 = 1
LCM(746,645) = ( 746 × 645 ) / 1
LCM(746,645) = 481170 / 1
LCM(746,645) = 481170
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 768,966?
The HCF of 768,966 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 768/746, 966/645?
Answer: GCF of Numerators as per given numbers 768/746, 966/645 is
GCF of Numerators i.e. for 768,966 is 6
LCM of denominators i.e. for 746,645 is 481170.
Thus, GCF of Fractions is 6/481170.Finally, GCF of Fractions for 768/746, 966/645 is 6/481170.