GCF of 2461/128, 8138/8854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2461/128, 8138/8854 i.e 1/566656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2461/128, 8138/8854.
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 2461/128,8138/8854?
Given fractions are 2461/128,8138/8854
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 2461/128,8138/8854, numerators are 2461,8138
Denominators are 128,8854
The GCF of 2461,8138 is 1 .
LCM of 128,8854 is 566656.
The greatest common factor of 2461/128,8138/8854 = [GCF of 2461,8138]/[LCM of 128,8854]= 1/566656
Therefore, the GCF of 2461/128,8138/8854 is 1/566656.
To find the highest common factor of 2461,8138, we have to find the factors of both numbers and list the highest common factor.
The factors of 2461 are 1, 23, 107, 2461
The factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138
The HCF of 2461,8138 is 1.
Lets's calculate GCF of 2461,8138
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2461,8138 By Matching Biggest Common Factor Method
Now, list down the factors of 2461
:1,23,107,2461
Now, list down the factors of 8138
:1,2,13,26,313,626,4069,8138
Greatest Common Factor
We found the factors 2461,8138 . The biggest common factor number is the GCF number.
So the greatest common factor 2461,8138 is 1.
Lets's calculate LCM of 128,8854
| 2 | 128, 8854 |
| 64, 4427 |
∴ So the LCM of the given numbers is 2 x 64 x 4427 = 566656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/566656
Therefore, the GCF of Fractions 2461/128,8138/8854 is 1/566656
Least Common Multiple of 128,8854 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 128,8854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,8854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,8854) x common factors =2 x 1 = 2
LCM(128,8854) = ( 128 × 8854 ) / 2
LCM(128,8854) = 1133312 / 2
LCM(128,8854) = 566656
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2461/128, 8138/8854
1. What is the HCF of 2461,8138?
The HCF of 2461,8138 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 2461/128, 8138/8854?
Answer: GCF of Numerators as per given numbers 2461/128, 8138/8854 is
GCF of Numerators i.e. for 2461,8138 is 1
LCM of denominators i.e. for 128,8854 is 566656.
Thus, GCF of Fractions is 1/566656.Finally, GCF of Fractions for 2461/128, 8138/8854 is 1/566656.