Use our free GCF of Fractions Calculator tool to compute the GCF of 704/514, 218/962 i.e 2/247234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 704/514, 218/962.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 704/514,218/962
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 704/514,218/962, numerators are 704,218
Denominators are 514,962
The GCF of 704,218 is 2 .
LCM of 514,962 is 247234.
The greatest common factor of 704/514,218/962 = [GCF of 704,218]/[LCM of 514,962]= 2/247234
Therefore, the GCF of 704/514,218/962 is 2/247234.
To find the highest common factor of 704,218, we have to find the factors of both numbers and list the highest common factor.
The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
The factors of 218 are 1, 2, 109, 218
The HCF of 704,218 is 2.
Lets's calculate GCF of 704,218
2 | 704, 218 |
352, 109 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 704
:1,2,4,8,11,16,22,32,44,64,88,176,352,704
Now, list down the factors of 218
:1,2,109,218
Greatest Common Factor
We found the factors 704,218 . The biggest common factor number is the GCF number.
So the greatest common factor 704,218 is 2.
Lets's calculate LCM of 514,962
2 | 514, 962 |
257, 481 |
∴ So the LCM of the given numbers is 2 x 257 x 481 = 247234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/247234
Therefore, the GCF of Fractions 704/514,218/962 is 2/247234
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 514,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,962) x common factors =2 x 1 = 2
LCM(514,962) = ( 514 × 962 ) / 2
LCM(514,962) = 494468 / 2
LCM(514,962) = 247234
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 704,218?
The HCF of 704,218 is 2
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 704/514, 218/962?
Answer: GCF of Numerators as per given numbers 704/514, 218/962 is
GCF of Numerators i.e. for 704,218 is 2
LCM of denominators i.e. for 514,962 is 247234.
Thus, GCF of Fractions is 2/247234.Finally, GCF of Fractions for 704/514, 218/962 is 2/247234.