GCF of 6537/517, 7739/401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6537/517, 7739/401 i.e 1/207317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6537/517, 7739/401.
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 6537/517,7739/401?
Given fractions are 6537/517,7739/401
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 6537/517,7739/401, numerators are 6537,7739
Denominators are 517,401
The GCF of 6537,7739 is 1 .
LCM of 517,401 is 207317.
The greatest common factor of 6537/517,7739/401 = [GCF of 6537,7739]/[LCM of 517,401]= 1/207317
Therefore, the GCF of 6537/517,7739/401 is 1/207317.
To find the highest common factor of 6537,7739, we have to find the factors of both numbers and list the highest common factor.
The factors of 6537 are 1, 3, 2179, 6537
The factors of 7739 are 1, 71, 109, 7739
The HCF of 6537,7739 is 1.
Lets's calculate GCF of 6537,7739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6537,7739 By Matching Biggest Common Factor Method
Now, list down the factors of 6537
:1,3,2179,6537
Now, list down the factors of 7739
:1,71,109,7739
Greatest Common Factor
We found the factors 6537,7739 . The biggest common factor number is the GCF number.
So the greatest common factor 6537,7739 is 1.
Lets's calculate LCM of 517,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 207317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207317
Therefore, the GCF of Fractions 6537/517,7739/401 is 1/207317
Least Common Multiple of 517,401 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 517,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,401) x common factors =1 x 1 = 1
LCM(517,401) = ( 517 × 401 ) / 1
LCM(517,401) = 207317 / 1
LCM(517,401) = 207317
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FAQs on GCF of Fractions of 6537/517, 7739/401
1. What is the HCF of 6537,7739?
The HCF of 6537,7739 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 6537/517, 7739/401?
Answer: GCF of Numerators as per given numbers 6537/517, 7739/401 is
GCF of Numerators i.e. for 6537,7739 is 1
LCM of denominators i.e. for 517,401 is 207317.
Thus, GCF of Fractions is 1/207317.Finally, GCF of Fractions for 6537/517, 7739/401 is 1/207317.