GCF of 5449/842, 6099/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5449/842, 6099/368 i.e 1/154928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5449/842, 6099/368.
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 5449/842,6099/368?
Given fractions are 5449/842,6099/368
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 5449/842,6099/368, numerators are 5449,6099
Denominators are 842,368
The GCF of 5449,6099 is 1 .
LCM of 842,368 is 154928.
The greatest common factor of 5449/842,6099/368 = [GCF of 5449,6099]/[LCM of 842,368]= 1/154928
Therefore, the GCF of 5449/842,6099/368 is 1/154928.
To find the highest common factor of 5449,6099, we have to find the factors of both numbers and list the highest common factor.
The factors of 5449 are 1, 5449
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The HCF of 5449,6099 is 1.
Lets's calculate GCF of 5449,6099
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5449,6099 By Matching Biggest Common Factor Method
Now, list down the factors of 5449
:1,5449
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 5449,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 5449,6099 is 1.
Lets's calculate LCM of 842,368
| 2 | 842, 368 |
| 421, 184 |
∴ So the LCM of the given numbers is 2 x 421 x 184 = 154928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154928
Therefore, the GCF of Fractions 5449/842,6099/368 is 1/154928
Least Common Multiple of 842,368 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 842,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,368) x common factors =2 x 1 = 2
LCM(842,368) = ( 842 × 368 ) / 2
LCM(842,368) = 309856 / 2
LCM(842,368) = 154928
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5449/842, 6099/368
1. What is the HCF of 5449,6099?
The HCF of 5449,6099 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 5449/842, 6099/368?
Answer: GCF of Numerators as per given numbers 5449/842, 6099/368 is
GCF of Numerators i.e. for 5449,6099 is 1
LCM of denominators i.e. for 842,368 is 154928.
Thus, GCF of Fractions is 1/154928.Finally, GCF of Fractions for 5449/842, 6099/368 is 1/154928.