Use our free GCF of Fractions Calculator tool to compute the GCF of 9785/341, 4214/8866 i.e 1/8866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9785/341, 4214/8866.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9785/341,4214/8866
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 9785/341,4214/8866, numerators are 9785,4214
Denominators are 341,8866
The GCF of 9785,4214 is 1 .
LCM of 341,8866 is 8866.
The greatest common factor of 9785/341,4214/8866 = [GCF of 9785,4214]/[LCM of 341,8866]= 1/8866
Therefore, the GCF of 9785/341,4214/8866 is 1/8866.
To find the highest common factor of 9785,4214, we have to find the factors of both numbers and list the highest common factor.
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214
The HCF of 9785,4214 is 1.
Lets's calculate GCF of 9785,4214
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Now, list down the factors of 4214
:1,2,7,14,43,49,86,98,301,602,2107,4214
Greatest Common Factor
We found the factors 9785,4214 . The biggest common factor number is the GCF number.
So the greatest common factor 9785,4214 is 1.
Lets's calculate LCM of 341,8866
11 | 341, 8866 |
31 | 31, 806 |
1, 26 |
∴ So the LCM of the given numbers is 11 x 31 x 1 x 26 = 8866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8866
Therefore, the GCF of Fractions 9785/341,4214/8866 is 1/8866
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 341,8866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,8866) = 341
common factors(in case of two or more numbers have common factors) = 1
GCF(341,8866) x common factors =341 x 1 = 341
LCM(341,8866) = ( 341 × 8866 ) / 341
LCM(341,8866) = 3023306 / 341
LCM(341,8866) = 8866
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9785,4214?
The HCF of 9785,4214 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 9785/341, 4214/8866?
Answer: GCF of Numerators as per given numbers 9785/341, 4214/8866 is
GCF of Numerators i.e. for 9785,4214 is 1
LCM of denominators i.e. for 341,8866 is 8866.
Thus, GCF of Fractions is 1/8866.Finally, GCF of Fractions for 9785/341, 4214/8866 is 1/8866.