GCF of 4078/104, 9766/986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4078/104, 9766/986 i.e 2/51272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4078/104, 9766/986.
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 4078/104,9766/986?
Given fractions are 4078/104,9766/986
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 4078/104,9766/986, numerators are 4078,9766
Denominators are 104,986
The GCF of 4078,9766 is 2 .
LCM of 104,986 is 51272.
The greatest common factor of 4078/104,9766/986 = [GCF of 4078,9766]/[LCM of 104,986]= 2/51272
Therefore, the GCF of 4078/104,9766/986 is 2/51272.
To find the highest common factor of 4078,9766, we have to find the factors of both numbers and list the highest common factor.
The factors of 4078 are 1, 2, 2039, 4078
The factors of 9766 are 1, 2, 19, 38, 257, 514, 4883, 9766
The HCF of 4078,9766 is 2.
Lets's calculate GCF of 4078,9766
| 2 | 4078, 9766 |
| 2039, 4883 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4078,9766 By Matching Biggest Common Factor Method
Now, list down the factors of 4078
:1,2,2039,4078
Now, list down the factors of 9766
:1,2,19,38,257,514,4883,9766
Greatest Common Factor
We found the factors 4078,9766 . The biggest common factor number is the GCF number.
So the greatest common factor 4078,9766 is 2.
Lets's calculate LCM of 104,986
| 2 | 104, 986 |
| 52, 493 |
∴ So the LCM of the given numbers is 2 x 52 x 493 = 51272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51272
Therefore, the GCF of Fractions 4078/104,9766/986 is 2/51272
Least Common Multiple of 104,986 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 104,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,986) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(104,986) x common factors =2 x 1 = 2
LCM(104,986) = ( 104 × 986 ) / 2
LCM(104,986) = 102544 / 2
LCM(104,986) = 51272
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4078/104, 9766/986
1. What is the HCF of 4078,9766?
The HCF of 4078,9766 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 4078/104, 9766/986?
Answer: GCF of Numerators as per given numbers 4078/104, 9766/986 is
GCF of Numerators i.e. for 4078,9766 is 2
LCM of denominators i.e. for 104,986 is 51272.
Thus, GCF of Fractions is 2/51272.Finally, GCF of Fractions for 4078/104, 9766/986 is 2/51272.