GCF of 5503/308, 1413/9929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5503/308, 1413/9929 i.e 1/3058132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5503/308, 1413/9929.
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 5503/308,1413/9929?
Given fractions are 5503/308,1413/9929
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 5503/308,1413/9929, numerators are 5503,1413
Denominators are 308,9929
The GCF of 5503,1413 is 1 .
LCM of 308,9929 is 3058132.
The greatest common factor of 5503/308,1413/9929 = [GCF of 5503,1413]/[LCM of 308,9929]= 1/3058132
Therefore, the GCF of 5503/308,1413/9929 is 1/3058132.
To find the highest common factor of 5503,1413, we have to find the factors of both numbers and list the highest common factor.
The factors of 5503 are 1, 5503
The factors of 1413 are 1, 3, 9, 157, 471, 1413
The HCF of 5503,1413 is 1.
Lets's calculate GCF of 5503,1413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5503,1413 By Matching Biggest Common Factor Method
Now, list down the factors of 5503
:1,5503
Now, list down the factors of 1413
:1,3,9,157,471,1413
Greatest Common Factor
We found the factors 5503,1413 . The biggest common factor number is the GCF number.
So the greatest common factor 5503,1413 is 1.
Lets's calculate LCM of 308,9929
Given numbers has no common factors except 1. So, there LCM is their product i.e 3058132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3058132
Therefore, the GCF of Fractions 5503/308,1413/9929 is 1/3058132
Least Common Multiple of 308,9929 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 308,9929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,9929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(308,9929) x common factors =1 x 1 = 1
LCM(308,9929) = ( 308 × 9929 ) / 1
LCM(308,9929) = 3058132 / 1
LCM(308,9929) = 3058132
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FAQs on GCF of Fractions of 5503/308, 1413/9929
1. What is the HCF of 5503,1413?
The HCF of 5503,1413 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 5503/308, 1413/9929?
Answer: GCF of Numerators as per given numbers 5503/308, 1413/9929 is
GCF of Numerators i.e. for 5503,1413 is 1
LCM of denominators i.e. for 308,9929 is 3058132.
Thus, GCF of Fractions is 1/3058132.Finally, GCF of Fractions for 5503/308, 1413/9929 is 1/3058132.