Use our free GCF of Fractions Calculator tool to compute the GCF of 814/616, 4612/930 i.e 2/286440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 814/616, 4612/930.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 814/616,4612/930
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 814/616,4612/930, numerators are 814,4612
Denominators are 616,930
The GCF of 814,4612 is 2 .
LCM of 616,930 is 286440.
The greatest common factor of 814/616,4612/930 = [GCF of 814,4612]/[LCM of 616,930]= 2/286440
Therefore, the GCF of 814/616,4612/930 is 2/286440.
To find the highest common factor of 814,4612, we have to find the factors of both numbers and list the highest common factor.
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The factors of 4612 are 1, 2, 4, 1153, 2306, 4612
The HCF of 814,4612 is 2.
Lets's calculate GCF of 814,4612
2 | 814, 4612 |
407, 2306 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Now, list down the factors of 4612
:1,2,4,1153,2306,4612
Greatest Common Factor
We found the factors 814,4612 . The biggest common factor number is the GCF number.
So the greatest common factor 814,4612 is 2.
Lets's calculate LCM of 616,930
2 | 616, 930 |
308, 465 |
∴ So the LCM of the given numbers is 2 x 308 x 465 = 286440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/286440
Therefore, the GCF of Fractions 814/616,4612/930 is 2/286440
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 616,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,930) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(616,930) x common factors =2 x 1 = 2
LCM(616,930) = ( 616 × 930 ) / 2
LCM(616,930) = 572880 / 2
LCM(616,930) = 286440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 814,4612?
The HCF of 814,4612 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 814/616, 4612/930?
Answer: GCF of Numerators as per given numbers 814/616, 4612/930 is
GCF of Numerators i.e. for 814,4612 is 2
LCM of denominators i.e. for 616,930 is 286440.
Thus, GCF of Fractions is 2/286440.Finally, GCF of Fractions for 814/616, 4612/930 is 2/286440.