GCF of 9811/725, 9882/235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9811/725, 9882/235 i.e 1/34075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9811/725, 9882/235.
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 9811/725,9882/235?
Given fractions are 9811/725,9882/235
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 9811/725,9882/235, numerators are 9811,9882
Denominators are 725,235
The GCF of 9811,9882 is 1 .
LCM of 725,235 is 34075.
The greatest common factor of 9811/725,9882/235 = [GCF of 9811,9882]/[LCM of 725,235]= 1/34075
Therefore, the GCF of 9811/725,9882/235 is 1/34075.
To find the highest common factor of 9811,9882, we have to find the factors of both numbers and list the highest common factor.
The factors of 9811 are 1, 9811
The factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882
The HCF of 9811,9882 is 1.
Lets's calculate GCF of 9811,9882
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9811,9882 By Matching Biggest Common Factor Method
Now, list down the factors of 9811
:1,9811
Now, list down the factors of 9882
:1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882
Greatest Common Factor
We found the factors 9811,9882 . The biggest common factor number is the GCF number.
So the greatest common factor 9811,9882 is 1.
Lets's calculate LCM of 725,235
| 5 | 725, 235 |
| 145, 47 |
∴ So the LCM of the given numbers is 5 x 145 x 47 = 34075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34075
Therefore, the GCF of Fractions 9811/725,9882/235 is 1/34075
Least Common Multiple of 725,235 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 725,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,235) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,235) x common factors =5 x 1 = 5
LCM(725,235) = ( 725 × 235 ) / 5
LCM(725,235) = 170375 / 5
LCM(725,235) = 34075
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9811/725, 9882/235
1. What is the HCF of 9811,9882?
The HCF of 9811,9882 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 9811/725, 9882/235?
Answer: GCF of Numerators as per given numbers 9811/725, 9882/235 is
GCF of Numerators i.e. for 9811,9882 is 1
LCM of denominators i.e. for 725,235 is 34075.
Thus, GCF of Fractions is 1/34075.Finally, GCF of Fractions for 9811/725, 9882/235 is 1/34075.