Use our free GCF of Fractions Calculator tool to compute the GCF of 6833/354, 3797/1467 i.e 1/173106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6833/354, 3797/1467.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6833/354,3797/1467
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 6833/354,3797/1467, numerators are 6833,3797
Denominators are 354,1467
The GCF of 6833,3797 is 1 .
LCM of 354,1467 is 173106.
The greatest common factor of 6833/354,3797/1467 = [GCF of 6833,3797]/[LCM of 354,1467]= 1/173106
Therefore, the GCF of 6833/354,3797/1467 is 1/173106.
To find the highest common factor of 6833,3797, we have to find the factors of both numbers and list the highest common factor.
The factors of 6833 are 1, 6833
The factors of 3797 are 1, 3797
The HCF of 6833,3797 is 1.
Lets's calculate GCF of 6833,3797
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6833
:1,6833
Now, list down the factors of 3797
:1,3797
Greatest Common Factor
We found the factors 6833,3797 . The biggest common factor number is the GCF number.
So the greatest common factor 6833,3797 is 1.
Lets's calculate LCM of 354,1467
3 | 354, 1467 |
118, 489 |
∴ So the LCM of the given numbers is 3 x 118 x 489 = 173106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173106
Therefore, the GCF of Fractions 6833/354,3797/1467 is 1/173106
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 354,1467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,1467) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(354,1467) x common factors =3 x 1 = 3
LCM(354,1467) = ( 354 × 1467 ) / 3
LCM(354,1467) = 519318 / 3
LCM(354,1467) = 173106
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6833,3797?
The HCF of 6833,3797 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 6833/354, 3797/1467?
Answer: GCF of Numerators as per given numbers 6833/354, 3797/1467 is
GCF of Numerators i.e. for 6833,3797 is 1
LCM of denominators i.e. for 354,1467 is 173106.
Thus, GCF of Fractions is 1/173106.Finally, GCF of Fractions for 6833/354, 3797/1467 is 1/173106.