GCF of 5505/613, 4703/963
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5505/613, 4703/963 i.e 1/590319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5505/613, 4703/963.
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 5505/613,4703/963?
Given fractions are 5505/613,4703/963
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 5505/613,4703/963, numerators are 5505,4703
Denominators are 613,963
The GCF of 5505,4703 is 1 .
LCM of 613,963 is 590319.
The greatest common factor of 5505/613,4703/963 = [GCF of 5505,4703]/[LCM of 613,963]= 1/590319
Therefore, the GCF of 5505/613,4703/963 is 1/590319.
To find the highest common factor of 5505,4703, we have to find the factors of both numbers and list the highest common factor.
The factors of 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505
The factors of 4703 are 1, 4703
The HCF of 5505,4703 is 1.
Lets's calculate GCF of 5505,4703
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5505,4703 By Matching Biggest Common Factor Method
Now, list down the factors of 5505
:1,3,5,15,367,1101,1835,5505
Now, list down the factors of 4703
:1,4703
Greatest Common Factor
We found the factors 5505,4703 . The biggest common factor number is the GCF number.
So the greatest common factor 5505,4703 is 1.
Lets's calculate LCM of 613,963
Given numbers has no common factors except 1. So, there LCM is their product i.e 590319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/590319
Therefore, the GCF of Fractions 5505/613,4703/963 is 1/590319
Least Common Multiple of 613,963 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 613,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,963) x common factors =1 x 1 = 1
LCM(613,963) = ( 613 × 963 ) / 1
LCM(613,963) = 590319 / 1
LCM(613,963) = 590319
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FAQs on GCF of Fractions of 5505/613, 4703/963
1. What is the HCF of 5505,4703?
The HCF of 5505,4703 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 5505/613, 4703/963?
Answer: GCF of Numerators as per given numbers 5505/613, 4703/963 is
GCF of Numerators i.e. for 5505,4703 is 1
LCM of denominators i.e. for 613,963 is 590319.
Thus, GCF of Fractions is 1/590319.Finally, GCF of Fractions for 5505/613, 4703/963 is 1/590319.