GCF of 3851/522, 8196/9766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3851/522, 8196/9766 i.e 1/2548926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3851/522, 8196/9766.
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 3851/522,8196/9766?
Given fractions are 3851/522,8196/9766
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 3851/522,8196/9766, numerators are 3851,8196
Denominators are 522,9766
The GCF of 3851,8196 is 1 .
LCM of 522,9766 is 2548926.
The greatest common factor of 3851/522,8196/9766 = [GCF of 3851,8196]/[LCM of 522,9766]= 1/2548926
Therefore, the GCF of 3851/522,8196/9766 is 1/2548926.
To find the highest common factor of 3851,8196, we have to find the factors of both numbers and list the highest common factor.
The factors of 3851 are 1, 3851
The factors of 8196 are 1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196
The HCF of 3851,8196 is 1.
Lets's calculate GCF of 3851,8196
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3851,8196 By Matching Biggest Common Factor Method
Now, list down the factors of 3851
:1,3851
Now, list down the factors of 8196
:1,2,3,4,6,12,683,1366,2049,2732,4098,8196
Greatest Common Factor
We found the factors 3851,8196 . The biggest common factor number is the GCF number.
So the greatest common factor 3851,8196 is 1.
Lets's calculate LCM of 522,9766
| 2 | 522, 9766 |
| 261, 4883 |
∴ So the LCM of the given numbers is 2 x 261 x 4883 = 2548926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2548926
Therefore, the GCF of Fractions 3851/522,8196/9766 is 1/2548926
Least Common Multiple of 522,9766 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 522,9766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,9766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,9766) x common factors =2 x 1 = 2
LCM(522,9766) = ( 522 × 9766 ) / 2
LCM(522,9766) = 5097852 / 2
LCM(522,9766) = 2548926
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FAQs on GCF of Fractions of 3851/522, 8196/9766
1. What is the HCF of 3851,8196?
The HCF of 3851,8196 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 3851/522, 8196/9766?
Answer: GCF of Numerators as per given numbers 3851/522, 8196/9766 is
GCF of Numerators i.e. for 3851,8196 is 1
LCM of denominators i.e. for 522,9766 is 2548926.
Thus, GCF of Fractions is 1/2548926.Finally, GCF of Fractions for 3851/522, 8196/9766 is 1/2548926.