Use our free GCF of Fractions Calculator tool to compute the GCF of 233/564, 7744/6360 i.e 1/298920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/564, 7744/6360.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 233/564,7744/6360
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 233/564,7744/6360, numerators are 233,7744
Denominators are 564,6360
The GCF of 233,7744 is 1 .
LCM of 564,6360 is 298920.
The greatest common factor of 233/564,7744/6360 = [GCF of 233,7744]/[LCM of 564,6360]= 1/298920
Therefore, the GCF of 233/564,7744/6360 is 1/298920.
To find the highest common factor of 233,7744, we have to find the factors of both numbers and list the highest common factor.
The factors of 233 are 1, 233
The factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744
The HCF of 233,7744 is 1.
Lets's calculate GCF of 233,7744
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 233
:1,233
Now, list down the factors of 7744
:1,2,4,8,11,16,22,32,44,64,88,121,176,242,352,484,704,968,1936,3872,7744
Greatest Common Factor
We found the factors 233,7744 . The biggest common factor number is the GCF number.
So the greatest common factor 233,7744 is 1.
Lets's calculate LCM of 564,6360
2 | 564, 6360 |
2 | 282, 3180 |
3 | 141, 1590 |
47, 530 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 530 = 298920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298920
Therefore, the GCF of Fractions 233/564,7744/6360 is 1/298920
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 564,6360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,6360) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(564,6360) x common factors =12 x 1 = 12
LCM(564,6360) = ( 564 × 6360 ) / 12
LCM(564,6360) = 3587040 / 12
LCM(564,6360) = 298920
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 233,7744?
The HCF of 233,7744 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 233/564, 7744/6360?
Answer: GCF of Numerators as per given numbers 233/564, 7744/6360 is
GCF of Numerators i.e. for 233,7744 is 1
LCM of denominators i.e. for 564,6360 is 298920.
Thus, GCF of Fractions is 1/298920.Finally, GCF of Fractions for 233/564, 7744/6360 is 1/298920.