Use our free GCF of Fractions Calculator tool to compute the GCF of 8185/962, 9335/4014 i.e 5/1930734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8185/962, 9335/4014.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8185/962,9335/4014
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 8185/962,9335/4014, numerators are 8185,9335
Denominators are 962,4014
The GCF of 8185,9335 is 5 .
LCM of 962,4014 is 1930734.
The greatest common factor of 8185/962,9335/4014 = [GCF of 8185,9335]/[LCM of 962,4014]= 5/1930734
Therefore, the GCF of 8185/962,9335/4014 is 5/1930734.
To find the highest common factor of 8185,9335, we have to find the factors of both numbers and list the highest common factor.
The factors of 8185 are 1, 5, 1637, 8185
The factors of 9335 are 1, 5, 1867, 9335
The HCF of 8185,9335 is 5.
Lets's calculate GCF of 8185,9335
5 | 8185, 9335 |
1637, 1867 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 8185
:1,5,1637,8185
Now, list down the factors of 9335
:1,5,1867,9335
Greatest Common Factor
We found the factors 8185,9335 . The biggest common factor number is the GCF number.
So the greatest common factor 8185,9335 is 5.
Lets's calculate LCM of 962,4014
2 | 962, 4014 |
481, 2007 |
∴ So the LCM of the given numbers is 2 x 481 x 2007 = 1930734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1930734
Therefore, the GCF of Fractions 8185/962,9335/4014 is 5/1930734
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 962,4014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,4014) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,4014) x common factors =2 x 1 = 2
LCM(962,4014) = ( 962 × 4014 ) / 2
LCM(962,4014) = 3861468 / 2
LCM(962,4014) = 1930734
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8185,9335?
The HCF of 8185,9335 is 5
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 8185/962, 9335/4014?
Answer: GCF of Numerators as per given numbers 8185/962, 9335/4014 is
GCF of Numerators i.e. for 8185,9335 is 5
LCM of denominators i.e. for 962,4014 is 1930734.
Thus, GCF of Fractions is 5/1930734.Finally, GCF of Fractions for 8185/962, 9335/4014 is 5/1930734.