Use our free GCF of Fractions Calculator tool to compute the GCF of 15/354, 17/7683 i.e 1/906594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/354, 17/7683.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/354,17/7683
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 15/354,17/7683, numerators are 15,17
Denominators are 354,7683
The GCF of 15,17 is 1 .
LCM of 354,7683 is 906594.
The greatest common factor of 15/354,17/7683 = [GCF of 15,17]/[LCM of 354,7683]= 1/906594
Therefore, the GCF of 15/354,17/7683 is 1/906594.
To find the highest common factor of 15,17, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 17 are 1, 17
The HCF of 15,17 is 1.
Lets's calculate GCF of 15,17
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 354,7683
3 | 354, 7683 |
118, 2561 |
∴ So the LCM of the given numbers is 3 x 118 x 2561 = 906594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/906594
Therefore, the GCF of Fractions 15/354,17/7683 is 1/906594
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 354,7683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,7683) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(354,7683) x common factors =3 x 1 = 3
LCM(354,7683) = ( 354 × 7683 ) / 3
LCM(354,7683) = 2719782 / 3
LCM(354,7683) = 906594
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,17?
The HCF of 15,17 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 15/354, 17/7683?
Answer: GCF of Numerators as per given numbers 15/354, 17/7683 is
GCF of Numerators i.e. for 15,17 is 1
LCM of denominators i.e. for 354,7683 is 906594.
Thus, GCF of Fractions is 1/906594.Finally, GCF of Fractions for 15/354, 17/7683 is 1/906594.