Use our free GCF of Fractions Calculator tool to compute the GCF of 743/912, 768/561 i.e 1/170544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/912, 768/561.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 743/912,768/561
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 743/912,768/561, numerators are 743,768
Denominators are 912,561
The GCF of 743,768 is 1 .
LCM of 912,561 is 170544.
The greatest common factor of 743/912,768/561 = [GCF of 743,768]/[LCM of 912,561]= 1/170544
Therefore, the GCF of 743/912,768/561 is 1/170544.
To find the highest common factor of 743,768, we have to find the factors of both numbers and list the highest common factor.
The factors of 743 are 1, 743
The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The HCF of 743,768 is 1.
Lets's calculate GCF of 743,768
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 743
:1,743
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
Greatest Common Factor
We found the factors 743,768 . The biggest common factor number is the GCF number.
So the greatest common factor 743,768 is 1.
Lets's calculate LCM of 912,561
3 | 912, 561 |
304, 187 |
∴ So the LCM of the given numbers is 3 x 304 x 187 = 170544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170544
Therefore, the GCF of Fractions 743/912,768/561 is 1/170544
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 912,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,561) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(912,561) x common factors =3 x 1 = 3
LCM(912,561) = ( 912 × 561 ) / 3
LCM(912,561) = 511632 / 3
LCM(912,561) = 170544
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 743,768?
The HCF of 743,768 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 743/912, 768/561?
Answer: GCF of Numerators as per given numbers 743/912, 768/561 is
GCF of Numerators i.e. for 743,768 is 1
LCM of denominators i.e. for 912,561 is 170544.
Thus, GCF of Fractions is 1/170544.Finally, GCF of Fractions for 743/912, 768/561 is 1/170544.