Use our free GCF of Fractions Calculator tool to compute the GCF of 34/390, 17/5445 i.e 17/141570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/390, 17/5445.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/390,17/5445
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 34/390,17/5445, numerators are 34,17
Denominators are 390,5445
The GCF of 34,17 is 17 .
LCM of 390,5445 is 141570.
The greatest common factor of 34/390,17/5445 = [GCF of 34,17]/[LCM of 390,5445]= 17/141570
Therefore, the GCF of 34/390,17/5445 is 17/141570.
To find the highest common factor of 34,17, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 17 are 1, 17
The HCF of 34,17 is 17.
Lets's calculate GCF of 34,17
17 | 34, 17 |
2, 1 |
∴ So the GCF of the given numbers is 17 = 17
Lets's calculate LCM of 390,5445
3 | 390, 5445 |
5 | 130, 1815 |
26, 363 |
∴ So the LCM of the given numbers is 3 x 5 x 26 x 363 = 141570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/141570
Therefore, the GCF of Fractions 34/390,17/5445 is 17/141570
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 390,5445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,5445) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(390,5445) x common factors =15 x 1 = 15
LCM(390,5445) = ( 390 × 5445 ) / 15
LCM(390,5445) = 2123550 / 15
LCM(390,5445) = 141570
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,17?
The HCF of 34,17 is 17
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 34/390, 17/5445?
Answer: GCF of Numerators as per given numbers 34/390, 17/5445 is
GCF of Numerators i.e. for 34,17 is 17
LCM of denominators i.e. for 390,5445 is 141570.
Thus, GCF of Fractions is 17/141570.Finally, GCF of Fractions for 34/390, 17/5445 is 17/141570.