GCF of 1365/203, 6099/2607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1365/203, 6099/2607 i.e 3/529221 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1365/203, 6099/2607.
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 1365/203,6099/2607?
Given fractions are 1365/203,6099/2607
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 1365/203,6099/2607, numerators are 1365,6099
Denominators are 203,2607
The GCF of 1365,6099 is 3 .
LCM of 203,2607 is 529221.
The greatest common factor of 1365/203,6099/2607 = [GCF of 1365,6099]/[LCM of 203,2607]= 3/529221
Therefore, the GCF of 1365/203,6099/2607 is 3/529221.
To find the highest common factor of 1365,6099, we have to find the factors of both numbers and list the highest common factor.
The factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The HCF of 1365,6099 is 3.
Lets's calculate GCF of 1365,6099
| 3 | 1365, 6099 |
| 455, 2033 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1365,6099 By Matching Biggest Common Factor Method
Now, list down the factors of 1365
:1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 1365,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 1365,6099 is 3.
Lets's calculate LCM of 203,2607
Given numbers has no common factors except 1. So, there LCM is their product i.e 529221
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/529221
Therefore, the GCF of Fractions 1365/203,6099/2607 is 3/529221
Least Common Multiple of 203,2607 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 203,2607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,2607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,2607) x common factors =1 x 1 = 1
LCM(203,2607) = ( 203 × 2607 ) / 1
LCM(203,2607) = 529221 / 1
LCM(203,2607) = 529221
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1365/203, 6099/2607
1. What is the HCF of 1365,6099?
The HCF of 1365,6099 is 3
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 1365/203, 6099/2607?
Answer: GCF of Numerators as per given numbers 1365/203, 6099/2607 is
GCF of Numerators i.e. for 1365,6099 is 3
LCM of denominators i.e. for 203,2607 is 529221.
Thus, GCF of Fractions is 3/529221.Finally, GCF of Fractions for 1365/203, 6099/2607 is 3/529221.