Use our free GCF of Fractions Calculator tool to compute the GCF of 835/18, 847/114 i.e 1/342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/18, 847/114.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 835/18,847/114
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 835/18,847/114, numerators are 835,847
Denominators are 18,114
The GCF of 835,847 is 1 .
LCM of 18,114 is 342.
The greatest common factor of 835/18,847/114 = [GCF of 835,847]/[LCM of 18,114]= 1/342
Therefore, the GCF of 835/18,847/114 is 1/342.
To find the highest common factor of 835,847, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 847 are 1, 7, 11, 77, 121, 847
The HCF of 835,847 is 1.
Lets's calculate GCF of 835,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 847
:1,7,11,77,121,847
Greatest Common Factor
We found the factors 835,847 . The biggest common factor number is the GCF number.
So the greatest common factor 835,847 is 1.
Lets's calculate LCM of 18,114
2 | 18, 114 |
3 | 9, 57 |
3, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 = 342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342
Therefore, the GCF of Fractions 835/18,847/114 is 1/342
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 18,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,114) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(18,114) x common factors =6 x 1 = 6
LCM(18,114) = ( 18 × 114 ) / 6
LCM(18,114) = 2052 / 6
LCM(18,114) = 342
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 835,847?
The HCF of 835,847 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 835/18, 847/114?
Answer: GCF of Numerators as per given numbers 835/18, 847/114 is
GCF of Numerators i.e. for 835,847 is 1
LCM of denominators i.e. for 18,114 is 342.
Thus, GCF of Fractions is 1/342.Finally, GCF of Fractions for 835/18, 847/114 is 1/342.