Use our free GCF of Fractions Calculator tool to compute the GCF of 385/784, 461/159 i.e 1/124656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/784, 461/159.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 385/784,461/159
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 385/784,461/159, numerators are 385,461
Denominators are 784,159
The GCF of 385,461 is 1 .
LCM of 784,159 is 124656.
The greatest common factor of 385/784,461/159 = [GCF of 385,461]/[LCM of 784,159]= 1/124656
Therefore, the GCF of 385/784,461/159 is 1/124656.
To find the highest common factor of 385,461, we have to find the factors of both numbers and list the highest common factor.
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The factors of 461 are 1, 461
The HCF of 385,461 is 1.
Lets's calculate GCF of 385,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Now, list down the factors of 461
:1,461
Greatest Common Factor
We found the factors 385,461 . The biggest common factor number is the GCF number.
So the greatest common factor 385,461 is 1.
Lets's calculate LCM of 784,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 124656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124656
Therefore, the GCF of Fractions 385/784,461/159 is 1/124656
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 784,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,159) x common factors =1 x 1 = 1
LCM(784,159) = ( 784 × 159 ) / 1
LCM(784,159) = 124656 / 1
LCM(784,159) = 124656
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 385,461?
The HCF of 385,461 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 385/784, 461/159?
Answer: GCF of Numerators as per given numbers 385/784, 461/159 is
GCF of Numerators i.e. for 385,461 is 1
LCM of denominators i.e. for 784,159 is 124656.
Thus, GCF of Fractions is 1/124656.Finally, GCF of Fractions for 385/784, 461/159 is 1/124656.