GCF of 8003/541, 4120/3296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8003/541, 4120/3296 i.e 1/1783136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8003/541, 4120/3296.
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 8003/541,4120/3296?
Given fractions are 8003/541,4120/3296
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 8003/541,4120/3296, numerators are 8003,4120
Denominators are 541,3296
The GCF of 8003,4120 is 1 .
LCM of 541,3296 is 1783136.
The greatest common factor of 8003/541,4120/3296 = [GCF of 8003,4120]/[LCM of 541,3296]= 1/1783136
Therefore, the GCF of 8003/541,4120/3296 is 1/1783136.
To find the highest common factor of 8003,4120, we have to find the factors of both numbers and list the highest common factor.
The factors of 8003 are 1, 53, 151, 8003
The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120
The HCF of 8003,4120 is 1.
Lets's calculate GCF of 8003,4120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8003,4120 By Matching Biggest Common Factor Method
Now, list down the factors of 8003
:1,53,151,8003
Now, list down the factors of 4120
:1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Greatest Common Factor
We found the factors 8003,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 8003,4120 is 1.
Lets's calculate LCM of 541,3296
Given numbers has no common factors except 1. So, there LCM is their product i.e 1783136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1783136
Therefore, the GCF of Fractions 8003/541,4120/3296 is 1/1783136
Least Common Multiple of 541,3296 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 541,3296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,3296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,3296) x common factors =1 x 1 = 1
LCM(541,3296) = ( 541 × 3296 ) / 1
LCM(541,3296) = 1783136 / 1
LCM(541,3296) = 1783136
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FAQs on GCF of Fractions of 8003/541, 4120/3296
1. What is the HCF of 8003,4120?
The HCF of 8003,4120 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 8003/541, 4120/3296?
Answer: GCF of Numerators as per given numbers 8003/541, 4120/3296 is
GCF of Numerators i.e. for 8003,4120 is 1
LCM of denominators i.e. for 541,3296 is 1783136.
Thus, GCF of Fractions is 1/1783136.Finally, GCF of Fractions for 8003/541, 4120/3296 is 1/1783136.