Use our free GCF of Fractions Calculator tool to compute the GCF of 293/277, 471/194 i.e 1/53738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 293/277, 471/194.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 293/277,471/194
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 293/277,471/194, numerators are 293,471
Denominators are 277,194
The GCF of 293,471 is 1 .
LCM of 277,194 is 53738.
The greatest common factor of 293/277,471/194 = [GCF of 293,471]/[LCM of 277,194]= 1/53738
Therefore, the GCF of 293/277,471/194 is 1/53738.
To find the highest common factor of 293,471, we have to find the factors of both numbers and list the highest common factor.
The factors of 293 are 1, 293
The factors of 471 are 1, 3, 157, 471
The HCF of 293,471 is 1.
Lets's calculate GCF of 293,471
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 293
:1,293
Now, list down the factors of 471
:1,3,157,471
Greatest Common Factor
We found the factors 293,471 . The biggest common factor number is the GCF number.
So the greatest common factor 293,471 is 1.
Lets's calculate LCM of 277,194
Given numbers has no common factors except 1. So, there LCM is their product i.e 53738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53738
Therefore, the GCF of Fractions 293/277,471/194 is 1/53738
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 277,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,194) x common factors =1 x 1 = 1
LCM(277,194) = ( 277 × 194 ) / 1
LCM(277,194) = 53738 / 1
LCM(277,194) = 53738
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 293,471?
The HCF of 293,471 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 293/277, 471/194?
Answer: GCF of Numerators as per given numbers 293/277, 471/194 is
GCF of Numerators i.e. for 293,471 is 1
LCM of denominators i.e. for 277,194 is 53738.
Thus, GCF of Fractions is 1/53738.Finally, GCF of Fractions for 293/277, 471/194 is 1/53738.