Use our free GCF of Fractions Calculator tool to compute the GCF of 17/830, 26/8038 i.e 1/3335770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/830, 26/8038.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 17/830,26/8038
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 17/830,26/8038, numerators are 17,26
Denominators are 830,8038
The GCF of 17,26 is 1 .
LCM of 830,8038 is 3335770.
The greatest common factor of 17/830,26/8038 = [GCF of 17,26]/[LCM of 830,8038]= 1/3335770
Therefore, the GCF of 17/830,26/8038 is 1/3335770.
To find the highest common factor of 17,26, 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 26 are 1, 2, 13, 26
The HCF of 17,26 is 1.
Lets's calculate GCF of 17,26
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 830,8038
2 | 830, 8038 |
415, 4019 |
∴ So the LCM of the given numbers is 2 x 415 x 4019 = 3335770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3335770
Therefore, the GCF of Fractions 17/830,26/8038 is 1/3335770
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 830,8038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,8038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(830,8038) x common factors =2 x 1 = 2
LCM(830,8038) = ( 830 × 8038 ) / 2
LCM(830,8038) = 6671540 / 2
LCM(830,8038) = 3335770
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 17,26?
The HCF of 17,26 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 17/830, 26/8038?
Answer: GCF of Numerators as per given numbers 17/830, 26/8038 is
GCF of Numerators i.e. for 17,26 is 1
LCM of denominators i.e. for 830,8038 is 3335770.
Thus, GCF of Fractions is 1/3335770.Finally, GCF of Fractions for 17/830, 26/8038 is 1/3335770.