GCF of 3258/261, 8735/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3258/261, 8735/831 i.e 1/72297 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3258/261, 8735/831.
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 3258/261,8735/831?
Given fractions are 3258/261,8735/831
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 3258/261,8735/831, numerators are 3258,8735
Denominators are 261,831
The GCF of 3258,8735 is 1 .
LCM of 261,831 is 72297.
The greatest common factor of 3258/261,8735/831 = [GCF of 3258,8735]/[LCM of 261,831]= 1/72297
Therefore, the GCF of 3258/261,8735/831 is 1/72297.
To find the highest common factor of 3258,8735, we have to find the factors of both numbers and list the highest common factor.
The factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258
The factors of 8735 are 1, 5, 1747, 8735
The HCF of 3258,8735 is 1.
Lets's calculate GCF of 3258,8735
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3258,8735 By Matching Biggest Common Factor Method
Now, list down the factors of 3258
:1,2,3,6,9,18,181,362,543,1086,1629,3258
Now, list down the factors of 8735
:1,5,1747,8735
Greatest Common Factor
We found the factors 3258,8735 . The biggest common factor number is the GCF number.
So the greatest common factor 3258,8735 is 1.
Lets's calculate LCM of 261,831
| 3 | 261, 831 |
| 87, 277 |
∴ So the LCM of the given numbers is 3 x 87 x 277 = 72297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72297
Therefore, the GCF of Fractions 3258/261,8735/831 is 1/72297
Least Common Multiple of 261,831 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 261,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,831) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(261,831) x common factors =3 x 1 = 3
LCM(261,831) = ( 261 × 831 ) / 3
LCM(261,831) = 216891 / 3
LCM(261,831) = 72297
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FAQs on GCF of Fractions of 3258/261, 8735/831
1. What is the HCF of 3258,8735?
The HCF of 3258,8735 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 3258/261, 8735/831?
Answer: GCF of Numerators as per given numbers 3258/261, 8735/831 is
GCF of Numerators i.e. for 3258,8735 is 1
LCM of denominators i.e. for 261,831 is 72297.
Thus, GCF of Fractions is 1/72297.Finally, GCF of Fractions for 3258/261, 8735/831 is 1/72297.