GCF of 5215/239, 3509/743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5215/239, 3509/743 i.e 1/177577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5215/239, 3509/743.
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 5215/239,3509/743?
Given fractions are 5215/239,3509/743
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 5215/239,3509/743, numerators are 5215,3509
Denominators are 239,743
The GCF of 5215,3509 is 1 .
LCM of 239,743 is 177577.
The greatest common factor of 5215/239,3509/743 = [GCF of 5215,3509]/[LCM of 239,743]= 1/177577
Therefore, the GCF of 5215/239,3509/743 is 1/177577.
To find the highest common factor of 5215,3509, we have to find the factors of both numbers and list the highest common factor.
The factors of 5215 are 1, 5, 7, 35, 149, 745, 1043, 5215
The factors of 3509 are 1, 11, 29, 121, 319, 3509
The HCF of 5215,3509 is 1.
Lets's calculate GCF of 5215,3509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5215,3509 By Matching Biggest Common Factor Method
Now, list down the factors of 5215
:1,5,7,35,149,745,1043,5215
Now, list down the factors of 3509
:1,11,29,121,319,3509
Greatest Common Factor
We found the factors 5215,3509 . The biggest common factor number is the GCF number.
So the greatest common factor 5215,3509 is 1.
Lets's calculate LCM of 239,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 177577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177577
Therefore, the GCF of Fractions 5215/239,3509/743 is 1/177577
Least Common Multiple of 239,743 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 239,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,743) x common factors =1 x 1 = 1
LCM(239,743) = ( 239 × 743 ) / 1
LCM(239,743) = 177577 / 1
LCM(239,743) = 177577
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FAQs on GCF of Fractions of 5215/239, 3509/743
1. What is the HCF of 5215,3509?
The HCF of 5215,3509 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 5215/239, 3509/743?
Answer: GCF of Numerators as per given numbers 5215/239, 3509/743 is
GCF of Numerators i.e. for 5215,3509 is 1
LCM of denominators i.e. for 239,743 is 177577.
Thus, GCF of Fractions is 1/177577.Finally, GCF of Fractions for 5215/239, 3509/743 is 1/177577.