Use our free GCF of Fractions Calculator tool to compute the GCF of 246/937, 574/936 i.e 82/877032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/937, 574/936.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/937,574/936
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 246/937,574/936, numerators are 246,574
Denominators are 937,936
The GCF of 246,574 is 82 .
LCM of 937,936 is 877032.
The greatest common factor of 246/937,574/936 = [GCF of 246,574]/[LCM of 937,936]= 82/877032
Therefore, the GCF of 246/937,574/936 is 82/877032.
To find the highest common factor of 246,574, we have to find the factors of both numbers and list the highest common factor.
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The HCF of 246,574 is 82.
Lets's calculate GCF of 246,574
2 | 246, 574 |
41 | 123, 287 |
3, 7 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 246,574 . The biggest common factor number is the GCF number.
So the greatest common factor 246,574 is 82.
Lets's calculate LCM of 937,936
Given numbers has no common factors except 1. So, there LCM is their product i.e 877032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/877032
Therefore, the GCF of Fractions 246/937,574/936 is 82/877032
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 937,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,936) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,936) x common factors =1 x 1 = 1
LCM(937,936) = ( 937 × 936 ) / 1
LCM(937,936) = 877032 / 1
LCM(937,936) = 877032
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 246,574?
The HCF of 246,574 is 82
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 246/937, 574/936?
Answer: GCF of Numerators as per given numbers 246/937, 574/936 is
GCF of Numerators i.e. for 246,574 is 82
LCM of denominators i.e. for 937,936 is 877032.
Thus, GCF of Fractions is 82/877032.Finally, GCF of Fractions for 246/937, 574/936 is 82/877032.