Use our free GCF of Fractions Calculator tool to compute the GCF of 17/85, 797/30, 848/349 i.e 1/177990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/85, 797/30, 848/349.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/85,797/30,848/349
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 17/85,797/30,848/349, numerators are 17,797,848
Denominators are 85,30,349
The GCF of 17,797,848 is 1 .
LCM of 85,30,349 is 177990.
The greatest common factor of 17/85,797/30,848/349 = [GCF of 17,797,848]/[LCM of 85,30,349]= 1/177990
Therefore, the GCF of 17/85,797/30,848/349 is 1/177990.
To find the highest common factor of 17,797,848, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 797 are 1, 797
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The HCF of 17,797,848 is 1.
Lets's calculate GCF of 17,797,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 17
:1,17
Now, list down the factors of 797
:1,797
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 17,797,848 . The biggest common factor number is the GCF number.
So the greatest common factor 17,797,848 is 1.
Lets's calculate LCM of 85,30,349
5 | 85, 30, 349 |
17, 6, 349 |
∴ So the LCM of the given numbers is 5 x 17 x 6 x 349 = 177990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177990
Therefore, the GCF of Fractions 17/85,797/30,848/349 is 1/177990
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 85,30,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,30,349) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(85,30,349) x common factors =1 x 5 = 5
LCM(85,30,349) = ( 85 × 30 × 349 ) / 5
LCM(85,30,349) = 889950 / 5
LCM(85,30,349) = 177990
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,797,848?
The HCF of 17,797,848 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 17/85, 797/30, 848/349?
Answer: GCF of Numerators as per given numbers 17/85, 797/30, 848/349 is
GCF of Numerators i.e. for 17,797,848 is 1
LCM of denominators i.e. for 85,30,349 is 177990.
Thus, GCF of Fractions is 1/177990.Finally, GCF of Fractions for 17/85, 797/30, 848/349 is 1/177990.