GCF of 2405/848, 9159/7194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2405/848, 9159/7194 i.e 1/3050256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2405/848, 9159/7194.
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 2405/848,9159/7194?
Given fractions are 2405/848,9159/7194
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 2405/848,9159/7194, numerators are 2405,9159
Denominators are 848,7194
The GCF of 2405,9159 is 1 .
LCM of 848,7194 is 3050256.
The greatest common factor of 2405/848,9159/7194 = [GCF of 2405,9159]/[LCM of 848,7194]= 1/3050256
Therefore, the GCF of 2405/848,9159/7194 is 1/3050256.
To find the highest common factor of 2405,9159, we have to find the factors of both numbers and list the highest common factor.
The factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405
The factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159
The HCF of 2405,9159 is 1.
Lets's calculate GCF of 2405,9159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2405,9159 By Matching Biggest Common Factor Method
Now, list down the factors of 2405
:1,5,13,37,65,185,481,2405
Now, list down the factors of 9159
:1,3,43,71,129,213,3053,9159
Greatest Common Factor
We found the factors 2405,9159 . The biggest common factor number is the GCF number.
So the greatest common factor 2405,9159 is 1.
Lets's calculate LCM of 848,7194
| 2 | 848, 7194 |
| 424, 3597 |
∴ So the LCM of the given numbers is 2 x 424 x 3597 = 3050256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3050256
Therefore, the GCF of Fractions 2405/848,9159/7194 is 1/3050256
Least Common Multiple of 848,7194 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 848,7194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,7194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(848,7194) x common factors =2 x 1 = 2
LCM(848,7194) = ( 848 × 7194 ) / 2
LCM(848,7194) = 6100512 / 2
LCM(848,7194) = 3050256
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2405/848, 9159/7194
1. What is the HCF of 2405,9159?
The HCF of 2405,9159 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 2405/848, 9159/7194?
Answer: GCF of Numerators as per given numbers 2405/848, 9159/7194 is
GCF of Numerators i.e. for 2405,9159 is 1
LCM of denominators i.e. for 848,7194 is 3050256.
Thus, GCF of Fractions is 1/3050256.Finally, GCF of Fractions for 2405/848, 9159/7194 is 1/3050256.