GCF of 2584/184, 8137/108
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2584/184, 8137/108 i.e 1/4968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2584/184, 8137/108.
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 2584/184,8137/108?
Given fractions are 2584/184,8137/108
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 2584/184,8137/108, numerators are 2584,8137
Denominators are 184,108
The GCF of 2584,8137 is 1 .
LCM of 184,108 is 4968.
The greatest common factor of 2584/184,8137/108 = [GCF of 2584,8137]/[LCM of 184,108]= 1/4968
Therefore, the GCF of 2584/184,8137/108 is 1/4968.
To find the highest common factor of 2584,8137, we have to find the factors of both numbers and list the highest common factor.
The factors of 2584 are 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 646, 1292, 2584
The factors of 8137 are 1, 79, 103, 8137
The HCF of 2584,8137 is 1.
Lets's calculate GCF of 2584,8137
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2584,8137 By Matching Biggest Common Factor Method
Now, list down the factors of 2584
:1,2,4,8,17,19,34,38,68,76,136,152,323,646,1292,2584
Now, list down the factors of 8137
:1,79,103,8137
Greatest Common Factor
We found the factors 2584,8137 . The biggest common factor number is the GCF number.
So the greatest common factor 2584,8137 is 1.
Lets's calculate LCM of 184,108
| 2 | 184, 108 |
| 2 | 92, 54 |
| 46, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 46 x 27 = 4968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4968
Therefore, the GCF of Fractions 2584/184,8137/108 is 1/4968
Least Common Multiple of 184,108 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 184,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,108) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(184,108) x common factors =4 x 1 = 4
LCM(184,108) = ( 184 × 108 ) / 4
LCM(184,108) = 19872 / 4
LCM(184,108) = 4968
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2584/184, 8137/108
1. What is the HCF of 2584,8137?
The HCF of 2584,8137 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 2584/184, 8137/108?
Answer: GCF of Numerators as per given numbers 2584/184, 8137/108 is
GCF of Numerators i.e. for 2584,8137 is 1
LCM of denominators i.e. for 184,108 is 4968.
Thus, GCF of Fractions is 1/4968.Finally, GCF of Fractions for 2584/184, 8137/108 is 1/4968.