GCF of 7966/426, 4166/9388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7966/426, 4166/9388 i.e 2/1999644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7966/426, 4166/9388.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7966/426,4166/9388?
Given fractions are 7966/426,4166/9388
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 7966/426,4166/9388, numerators are 7966,4166
Denominators are 426,9388
The GCF of 7966,4166 is 2 .
LCM of 426,9388 is 1999644.
The greatest common factor of 7966/426,4166/9388 = [GCF of 7966,4166]/[LCM of 426,9388]= 2/1999644
Therefore, the GCF of 7966/426,4166/9388 is 2/1999644.
To find the highest common factor of 7966,4166, we have to find the factors of both numbers and list the highest common factor.
The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966
The factors of 4166 are 1, 2, 2083, 4166
The HCF of 7966,4166 is 2.
Lets's calculate GCF of 7966,4166
| 2 | 7966, 4166 |
| 3983, 2083 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7966,4166 By Matching Biggest Common Factor Method
Now, list down the factors of 7966
:1,2,7,14,569,1138,3983,7966
Now, list down the factors of 4166
:1,2,2083,4166
Greatest Common Factor
We found the factors 7966,4166 . The biggest common factor number is the GCF number.
So the greatest common factor 7966,4166 is 2.
Lets's calculate LCM of 426,9388
| 2 | 426, 9388 |
| 213, 4694 |
∴ So the LCM of the given numbers is 2 x 213 x 4694 = 1999644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1999644
Therefore, the GCF of Fractions 7966/426,4166/9388 is 2/1999644
Least Common Multiple of 426,9388 with GCF Formula
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 426,9388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,9388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,9388) x common factors =2 x 1 = 2
LCM(426,9388) = ( 426 × 9388 ) / 2
LCM(426,9388) = 3999288 / 2
LCM(426,9388) = 1999644
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7966/426, 4166/9388
1. What is the HCF of 7966,4166?
The HCF of 7966,4166 is 2
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 7966/426, 4166/9388?
Answer: GCF of Numerators as per given numbers 7966/426, 4166/9388 is
GCF of Numerators i.e. for 7966,4166 is 2
LCM of denominators i.e. for 426,9388 is 1999644.
Thus, GCF of Fractions is 2/1999644.Finally, GCF of Fractions for 7966/426, 4166/9388 is 2/1999644.