Use our free GCF of Fractions Calculator tool to compute the GCF of 335/357, 990/427 i.e 5/21777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 335/357, 990/427.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 335/357,990/427
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 335/357,990/427, numerators are 335,990
Denominators are 357,427
The GCF of 335,990 is 5 .
LCM of 357,427 is 21777.
The greatest common factor of 335/357,990/427 = [GCF of 335,990]/[LCM of 357,427]= 5/21777
Therefore, the GCF of 335/357,990/427 is 5/21777.
To find the highest common factor of 335,990, we have to find the factors of both numbers and list the highest common factor.
The factors of 335 are 1, 5, 67, 335
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The HCF of 335,990 is 5.
Lets's calculate GCF of 335,990
5 | 335, 990 |
67, 198 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 335
:1,5,67,335
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 335,990 . The biggest common factor number is the GCF number.
So the greatest common factor 335,990 is 5.
Lets's calculate LCM of 357,427
7 | 357, 427 |
51, 61 |
∴ So the LCM of the given numbers is 7 x 51 x 61 = 21777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/21777
Therefore, the GCF of Fractions 335/357,990/427 is 5/21777
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 357,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,427) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(357,427) x common factors =7 x 1 = 7
LCM(357,427) = ( 357 × 427 ) / 7
LCM(357,427) = 152439 / 7
LCM(357,427) = 21777
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 335,990?
The HCF of 335,990 is 5
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 335/357, 990/427?
Answer: GCF of Numerators as per given numbers 335/357, 990/427 is
GCF of Numerators i.e. for 335,990 is 5
LCM of denominators i.e. for 357,427 is 21777.
Thus, GCF of Fractions is 5/21777.Finally, GCF of Fractions for 335/357, 990/427 is 5/21777.