GCF of 5299/296, 3860/361
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5299/296, 3860/361 i.e 1/106856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5299/296, 3860/361.
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 5299/296,3860/361?
Given fractions are 5299/296,3860/361
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 5299/296,3860/361, numerators are 5299,3860
Denominators are 296,361
The GCF of 5299,3860 is 1 .
LCM of 296,361 is 106856.
The greatest common factor of 5299/296,3860/361 = [GCF of 5299,3860]/[LCM of 296,361]= 1/106856
Therefore, the GCF of 5299/296,3860/361 is 1/106856.
To find the highest common factor of 5299,3860, we have to find the factors of both numbers and list the highest common factor.
The factors of 5299 are 1, 7, 757, 5299
The factors of 3860 are 1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860
The HCF of 5299,3860 is 1.
Lets's calculate GCF of 5299,3860
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5299,3860 By Matching Biggest Common Factor Method
Now, list down the factors of 5299
:1,7,757,5299
Now, list down the factors of 3860
:1,2,4,5,10,20,193,386,772,965,1930,3860
Greatest Common Factor
We found the factors 5299,3860 . The biggest common factor number is the GCF number.
So the greatest common factor 5299,3860 is 1.
Lets's calculate LCM of 296,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 106856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106856
Therefore, the GCF of Fractions 5299/296,3860/361 is 1/106856
Least Common Multiple of 296,361 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 296,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,361) x common factors =1 x 1 = 1
LCM(296,361) = ( 296 × 361 ) / 1
LCM(296,361) = 106856 / 1
LCM(296,361) = 106856
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FAQs on GCF of Fractions of 5299/296, 3860/361
1. What is the HCF of 5299,3860?
The HCF of 5299,3860 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 5299/296, 3860/361?
Answer: GCF of Numerators as per given numbers 5299/296, 3860/361 is
GCF of Numerators i.e. for 5299,3860 is 1
LCM of denominators i.e. for 296,361 is 106856.
Thus, GCF of Fractions is 1/106856.Finally, GCF of Fractions for 5299/296, 3860/361 is 1/106856.