GCF of 6601/300, 6750/3319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6601/300, 6750/3319 i.e 1/995700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6601/300, 6750/3319.
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 6601/300,6750/3319?
Given fractions are 6601/300,6750/3319
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 6601/300,6750/3319, numerators are 6601,6750
Denominators are 300,3319
The GCF of 6601,6750 is 1 .
LCM of 300,3319 is 995700.
The greatest common factor of 6601/300,6750/3319 = [GCF of 6601,6750]/[LCM of 300,3319]= 1/995700
Therefore, the GCF of 6601/300,6750/3319 is 1/995700.
To find the highest common factor of 6601,6750, we have to find the factors of both numbers and list the highest common factor.
The factors of 6601 are 1, 7, 23, 41, 161, 287, 943, 6601
The factors of 6750 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750
The HCF of 6601,6750 is 1.
Lets's calculate GCF of 6601,6750
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6601,6750 By Matching Biggest Common Factor Method
Now, list down the factors of 6601
:1,7,23,41,161,287,943,6601
Now, list down the factors of 6750
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,125,135,150,225,250,270,375,450,675,750,1125,1350,2250,3375,6750
Greatest Common Factor
We found the factors 6601,6750 . The biggest common factor number is the GCF number.
So the greatest common factor 6601,6750 is 1.
Lets's calculate LCM of 300,3319
Given numbers has no common factors except 1. So, there LCM is their product i.e 995700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/995700
Therefore, the GCF of Fractions 6601/300,6750/3319 is 1/995700
Least Common Multiple of 300,3319 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 300,3319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,3319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(300,3319) x common factors =1 x 1 = 1
LCM(300,3319) = ( 300 × 3319 ) / 1
LCM(300,3319) = 995700 / 1
LCM(300,3319) = 995700
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6601/300, 6750/3319
1. What is the HCF of 6601,6750?
The HCF of 6601,6750 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 6601/300, 6750/3319?
Answer: GCF of Numerators as per given numbers 6601/300, 6750/3319 is
GCF of Numerators i.e. for 6601,6750 is 1
LCM of denominators i.e. for 300,3319 is 995700.
Thus, GCF of Fractions is 1/995700.Finally, GCF of Fractions for 6601/300, 6750/3319 is 1/995700.