Use our free GCF of Fractions Calculator tool to compute the GCF of 994/850, 337/550 i.e 1/9350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/850, 337/550.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 994/850,337/550
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 994/850,337/550, numerators are 994,337
Denominators are 850,550
The GCF of 994,337 is 1 .
LCM of 850,550 is 9350.
The greatest common factor of 994/850,337/550 = [GCF of 994,337]/[LCM of 850,550]= 1/9350
Therefore, the GCF of 994/850,337/550 is 1/9350.
To find the highest common factor of 994,337, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 337 are 1, 337
The HCF of 994,337 is 1.
Lets's calculate GCF of 994,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 337
:1,337
Greatest Common Factor
We found the factors 994,337 . The biggest common factor number is the GCF number.
So the greatest common factor 994,337 is 1.
Lets's calculate LCM of 850,550
2 | 850, 550 |
5 | 425, 275 |
5 | 85, 55 |
17, 11 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 17 x 11 = 9350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9350
Therefore, the GCF of Fractions 994/850,337/550 is 1/9350
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 850,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,550) = 50
common factors(in case of two or more numbers have common factors) = 1
GCF(850,550) x common factors =50 x 1 = 50
LCM(850,550) = ( 850 × 550 ) / 50
LCM(850,550) = 467500 / 50
LCM(850,550) = 9350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 994,337?
The HCF of 994,337 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 994/850, 337/550?
Answer: GCF of Numerators as per given numbers 994/850, 337/550 is
GCF of Numerators i.e. for 994,337 is 1
LCM of denominators i.e. for 850,550 is 9350.
Thus, GCF of Fractions is 1/9350.Finally, GCF of Fractions for 994/850, 337/550 is 1/9350.