Use our free GCF of Fractions Calculator tool to compute the GCF of 349/994, 820/168 i.e 1/11928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 349/994, 820/168.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 349/994,820/168
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 349/994,820/168, numerators are 349,820
Denominators are 994,168
The GCF of 349,820 is 1 .
LCM of 994,168 is 11928.
The greatest common factor of 349/994,820/168 = [GCF of 349,820]/[LCM of 994,168]= 1/11928
Therefore, the GCF of 349/994,820/168 is 1/11928.
To find the highest common factor of 349,820, we have to find the factors of both numbers and list the highest common factor.
The factors of 349 are 1, 349
The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
The HCF of 349,820 is 1.
Lets's calculate GCF of 349,820
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 349
:1,349
Now, list down the factors of 820
:1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 349,820 . The biggest common factor number is the GCF number.
So the greatest common factor 349,820 is 1.
Lets's calculate LCM of 994,168
2 | 994, 168 |
7 | 497, 84 |
71, 12 |
∴ So the LCM of the given numbers is 2 x 7 x 71 x 12 = 11928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11928
Therefore, the GCF of Fractions 349/994,820/168 is 1/11928
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 994,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,168) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(994,168) x common factors =14 x 1 = 14
LCM(994,168) = ( 994 × 168 ) / 14
LCM(994,168) = 166992 / 14
LCM(994,168) = 11928
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 349,820?
The HCF of 349,820 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 349/994, 820/168?
Answer: GCF of Numerators as per given numbers 349/994, 820/168 is
GCF of Numerators i.e. for 349,820 is 1
LCM of denominators i.e. for 994,168 is 11928.
Thus, GCF of Fractions is 1/11928.Finally, GCF of Fractions for 349/994, 820/168 is 1/11928.