GCF of 5943/509, 7913/6895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5943/509, 7913/6895 i.e 1/3509555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5943/509, 7913/6895.
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 5943/509,7913/6895?
Given fractions are 5943/509,7913/6895
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 5943/509,7913/6895, numerators are 5943,7913
Denominators are 509,6895
The GCF of 5943,7913 is 1 .
LCM of 509,6895 is 3509555.
The greatest common factor of 5943/509,7913/6895 = [GCF of 5943,7913]/[LCM of 509,6895]= 1/3509555
Therefore, the GCF of 5943/509,7913/6895 is 1/3509555.
To find the highest common factor of 5943,7913, we have to find the factors of both numbers and list the highest common factor.
The factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943
The factors of 7913 are 1, 41, 193, 7913
The HCF of 5943,7913 is 1.
Lets's calculate GCF of 5943,7913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5943,7913 By Matching Biggest Common Factor Method
Now, list down the factors of 5943
:1,3,7,21,283,849,1981,5943
Now, list down the factors of 7913
:1,41,193,7913
Greatest Common Factor
We found the factors 5943,7913 . The biggest common factor number is the GCF number.
So the greatest common factor 5943,7913 is 1.
Lets's calculate LCM of 509,6895
Given numbers has no common factors except 1. So, there LCM is their product i.e 3509555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3509555
Therefore, the GCF of Fractions 5943/509,7913/6895 is 1/3509555
Least Common Multiple of 509,6895 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 509,6895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,6895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,6895) x common factors =1 x 1 = 1
LCM(509,6895) = ( 509 × 6895 ) / 1
LCM(509,6895) = 3509555 / 1
LCM(509,6895) = 3509555
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FAQs on GCF of Fractions of 5943/509, 7913/6895
1. What is the HCF of 5943,7913?
The HCF of 5943,7913 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 5943/509, 7913/6895?
Answer: GCF of Numerators as per given numbers 5943/509, 7913/6895 is
GCF of Numerators i.e. for 5943,7913 is 1
LCM of denominators i.e. for 509,6895 is 3509555.
Thus, GCF of Fractions is 1/3509555.Finally, GCF of Fractions for 5943/509, 7913/6895 is 1/3509555.