Use our free GCF of Fractions Calculator tool to compute the GCF of 859/333, 938/828 i.e 1/30636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 859/333, 938/828.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 859/333,938/828
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 859/333,938/828, numerators are 859,938
Denominators are 333,828
The GCF of 859,938 is 1 .
LCM of 333,828 is 30636.
The greatest common factor of 859/333,938/828 = [GCF of 859,938]/[LCM of 333,828]= 1/30636
Therefore, the GCF of 859/333,938/828 is 1/30636.
To find the highest common factor of 859,938, we have to find the factors of both numbers and list the highest common factor.
The factors of 859 are 1, 859
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 859,938 is 1.
Lets's calculate GCF of 859,938
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 859
:1,859
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 859,938 . The biggest common factor number is the GCF number.
So the greatest common factor 859,938 is 1.
Lets's calculate LCM of 333,828
3 | 333, 828 |
3 | 111, 276 |
37, 92 |
∴ So the LCM of the given numbers is 3 x 3 x 37 x 92 = 30636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30636
Therefore, the GCF of Fractions 859/333,938/828 is 1/30636
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 333,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,828) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(333,828) x common factors =9 x 1 = 9
LCM(333,828) = ( 333 × 828 ) / 9
LCM(333,828) = 275724 / 9
LCM(333,828) = 30636
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 859,938?
The HCF of 859,938 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 859/333, 938/828?
Answer: GCF of Numerators as per given numbers 859/333, 938/828 is
GCF of Numerators i.e. for 859,938 is 1
LCM of denominators i.e. for 333,828 is 30636.
Thus, GCF of Fractions is 1/30636.Finally, GCF of Fractions for 859/333, 938/828 is 1/30636.