GCF of 5664/501, 6641/4468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5664/501, 6641/4468 i.e 1/2238468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5664/501, 6641/4468.
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 5664/501,6641/4468?
Given fractions are 5664/501,6641/4468
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 5664/501,6641/4468, numerators are 5664,6641
Denominators are 501,4468
The GCF of 5664,6641 is 1 .
LCM of 501,4468 is 2238468.
The greatest common factor of 5664/501,6641/4468 = [GCF of 5664,6641]/[LCM of 501,4468]= 1/2238468
Therefore, the GCF of 5664/501,6641/4468 is 1/2238468.
To find the highest common factor of 5664,6641, we have to find the factors of both numbers and list the highest common factor.
The factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664
The factors of 6641 are 1, 29, 229, 6641
The HCF of 5664,6641 is 1.
Lets's calculate GCF of 5664,6641
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5664,6641 By Matching Biggest Common Factor Method
Now, list down the factors of 5664
:1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664
Now, list down the factors of 6641
:1,29,229,6641
Greatest Common Factor
We found the factors 5664,6641 . The biggest common factor number is the GCF number.
So the greatest common factor 5664,6641 is 1.
Lets's calculate LCM of 501,4468
Given numbers has no common factors except 1. So, there LCM is their product i.e 2238468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2238468
Therefore, the GCF of Fractions 5664/501,6641/4468 is 1/2238468
Least Common Multiple of 501,4468 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 501,4468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,4468) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,4468) x common factors =1 x 1 = 1
LCM(501,4468) = ( 501 × 4468 ) / 1
LCM(501,4468) = 2238468 / 1
LCM(501,4468) = 2238468
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5664/501, 6641/4468
1. What is the HCF of 5664,6641?
The HCF of 5664,6641 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 5664/501, 6641/4468?
Answer: GCF of Numerators as per given numbers 5664/501, 6641/4468 is
GCF of Numerators i.e. for 5664,6641 is 1
LCM of denominators i.e. for 501,4468 is 2238468.
Thus, GCF of Fractions is 1/2238468.Finally, GCF of Fractions for 5664/501, 6641/4468 is 1/2238468.