Use our free GCF of Fractions Calculator tool to compute the GCF of 290/906, 994/214 i.e 2/96942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/906, 994/214.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/906,994/214
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 290/906,994/214, numerators are 290,994
Denominators are 906,214
The GCF of 290,994 is 2 .
LCM of 906,214 is 96942.
The greatest common factor of 290/906,994/214 = [GCF of 290,994]/[LCM of 906,214]= 2/96942
Therefore, the GCF of 290/906,994/214 is 2/96942.
To find the highest common factor of 290,994, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The HCF of 290,994 is 2.
Lets's calculate GCF of 290,994
2 | 290, 994 |
145, 497 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 290,994 . The biggest common factor number is the GCF number.
So the greatest common factor 290,994 is 2.
Lets's calculate LCM of 906,214
2 | 906, 214 |
453, 107 |
∴ So the LCM of the given numbers is 2 x 453 x 107 = 96942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96942
Therefore, the GCF of Fractions 290/906,994/214 is 2/96942
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 906,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(906,214) x common factors =2 x 1 = 2
LCM(906,214) = ( 906 × 214 ) / 2
LCM(906,214) = 193884 / 2
LCM(906,214) = 96942
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 290,994?
The HCF of 290,994 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 290/906, 994/214?
Answer: GCF of Numerators as per given numbers 290/906, 994/214 is
GCF of Numerators i.e. for 290,994 is 2
LCM of denominators i.e. for 906,214 is 96942.
Thus, GCF of Fractions is 2/96942.Finally, GCF of Fractions for 290/906, 994/214 is 2/96942.