Use our free GCF of Fractions Calculator tool to compute the GCF of 878/498, 817/174 i.e 1/14442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 878/498, 817/174.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 878/498,817/174
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 878/498,817/174, numerators are 878,817
Denominators are 498,174
The GCF of 878,817 is 1 .
LCM of 498,174 is 14442.
The greatest common factor of 878/498,817/174 = [GCF of 878,817]/[LCM of 498,174]= 1/14442
Therefore, the GCF of 878/498,817/174 is 1/14442.
To find the highest common factor of 878,817, we have to find the factors of both numbers and list the highest common factor.
The factors of 878 are 1, 2, 439, 878
The factors of 817 are 1, 19, 43, 817
The HCF of 878,817 is 1.
Lets's calculate GCF of 878,817
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 878
:1,2,439,878
Now, list down the factors of 817
:1,19,43,817
Greatest Common Factor
We found the factors 878,817 . The biggest common factor number is the GCF number.
So the greatest common factor 878,817 is 1.
Lets's calculate LCM of 498,174
2 | 498, 174 |
3 | 249, 87 |
83, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 29 = 14442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14442
Therefore, the GCF of Fractions 878/498,817/174 is 1/14442
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 498,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,174) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,174) x common factors =6 x 1 = 6
LCM(498,174) = ( 498 × 174 ) / 6
LCM(498,174) = 86652 / 6
LCM(498,174) = 14442
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 878,817?
The HCF of 878,817 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 878/498, 817/174?
Answer: GCF of Numerators as per given numbers 878/498, 817/174 is
GCF of Numerators i.e. for 878,817 is 1
LCM of denominators i.e. for 498,174 is 14442.
Thus, GCF of Fractions is 1/14442.Finally, GCF of Fractions for 878/498, 817/174 is 1/14442.