Use our free GCF of Fractions Calculator tool to compute the GCF of 48/688, 18/233, 461/247 i.e 1/39595088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/688, 18/233, 461/247.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/688,18/233,461/247
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 48/688,18/233,461/247, numerators are 48,18,461
Denominators are 688,233,247
The GCF of 48,18,461 is 1 .
LCM of 688,233,247 is 39595088.
The greatest common factor of 48/688,18/233,461/247 = [GCF of 48,18,461]/[LCM of 688,233,247]= 1/39595088
Therefore, the GCF of 48/688,18/233,461/247 is 1/39595088.
To find the highest common factor of 48,18,461, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 461 are 1, 461
The HCF of 48,18,461 is 1.
Lets's calculate GCF of 48,18,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 461
:1,461
Greatest Common Factor
We found the factors 48,18,461 . The biggest common factor number is the GCF number.
So the greatest common factor 48,18,461 is 1.
Lets's calculate LCM of 688,233,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 39595088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39595088
Therefore, the GCF of Fractions 48/688,18/233,461/247 is 1/39595088
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 688,233,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,233,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,233,247) x common factors =1 x 1 = 1
LCM(688,233,247) = ( 688 × 233 × 247 ) / 1
LCM(688,233,247) = 39595088 / 1
LCM(688,233,247) = 39595088
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,18,461?
The HCF of 48,18,461 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 48/688, 18/233, 461/247?
Answer: GCF of Numerators as per given numbers 48/688, 18/233, 461/247 is
GCF of Numerators i.e. for 48,18,461 is 1
LCM of denominators i.e. for 688,233,247 is 39595088.
Thus, GCF of Fractions is 1/39595088.Finally, GCF of Fractions for 48/688, 18/233, 461/247 is 1/39595088.