Use our free GCF of Fractions Calculator tool to compute the GCF of 14/925, 17/8476 i.e 1/7840300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/925, 17/8476.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/925,17/8476
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 14/925,17/8476, numerators are 14,17
Denominators are 925,8476
The GCF of 14,17 is 1 .
LCM of 925,8476 is 7840300.
The greatest common factor of 14/925,17/8476 = [GCF of 14,17]/[LCM of 925,8476]= 1/7840300
Therefore, the GCF of 14/925,17/8476 is 1/7840300.
To find the highest common factor of 14,17, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 17 are 1, 17
The HCF of 14,17 is 1.
Lets's calculate GCF of 14,17
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 925,8476
Given numbers has no common factors except 1. So, there LCM is their product i.e 7840300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7840300
Therefore, the GCF of Fractions 14/925,17/8476 is 1/7840300
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 925,8476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,8476) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,8476) x common factors =1 x 1 = 1
LCM(925,8476) = ( 925 × 8476 ) / 1
LCM(925,8476) = 7840300 / 1
LCM(925,8476) = 7840300
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,17?
The HCF of 14,17 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 14/925, 17/8476?
Answer: GCF of Numerators as per given numbers 14/925, 17/8476 is
GCF of Numerators i.e. for 14,17 is 1
LCM of denominators i.e. for 925,8476 is 7840300.
Thus, GCF of Fractions is 1/7840300.Finally, GCF of Fractions for 14/925, 17/8476 is 1/7840300.