GCF of 9881/992, 3810/5882
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9881/992, 3810/5882 i.e 1/2917472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9881/992, 3810/5882.
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 9881/992,3810/5882?
Given fractions are 9881/992,3810/5882
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 9881/992,3810/5882, numerators are 9881,3810
Denominators are 992,5882
The GCF of 9881,3810 is 1 .
LCM of 992,5882 is 2917472.
The greatest common factor of 9881/992,3810/5882 = [GCF of 9881,3810]/[LCM of 992,5882]= 1/2917472
Therefore, the GCF of 9881/992,3810/5882 is 1/2917472.
To find the highest common factor of 9881,3810, we have to find the factors of both numbers and list the highest common factor.
The factors of 9881 are 1, 41, 241, 9881
The factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810
The HCF of 9881,3810 is 1.
Lets's calculate GCF of 9881,3810
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9881,3810 By Matching Biggest Common Factor Method
Now, list down the factors of 9881
:1,41,241,9881
Now, list down the factors of 3810
:1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Greatest Common Factor
We found the factors 9881,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 9881,3810 is 1.
Lets's calculate LCM of 992,5882
| 2 | 992, 5882 |
| 496, 2941 |
∴ So the LCM of the given numbers is 2 x 496 x 2941 = 2917472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2917472
Therefore, the GCF of Fractions 9881/992,3810/5882 is 1/2917472
Least Common Multiple of 992,5882 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 992,5882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,5882) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(992,5882) x common factors =2 x 1 = 2
LCM(992,5882) = ( 992 × 5882 ) / 2
LCM(992,5882) = 5834944 / 2
LCM(992,5882) = 2917472
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9881/992, 3810/5882
1. What is the HCF of 9881,3810?
The HCF of 9881,3810 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 9881/992, 3810/5882?
Answer: GCF of Numerators as per given numbers 9881/992, 3810/5882 is
GCF of Numerators i.e. for 9881,3810 is 1
LCM of denominators i.e. for 992,5882 is 2917472.
Thus, GCF of Fractions is 1/2917472.Finally, GCF of Fractions for 9881/992, 3810/5882 is 1/2917472.