GCF of 6737/115, 9569/343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6737/115, 9569/343 i.e 1/39445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6737/115, 9569/343.
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 6737/115,9569/343?
Given fractions are 6737/115,9569/343
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 6737/115,9569/343, numerators are 6737,9569
Denominators are 115,343
The GCF of 6737,9569 is 1 .
LCM of 115,343 is 39445.
The greatest common factor of 6737/115,9569/343 = [GCF of 6737,9569]/[LCM of 115,343]= 1/39445
Therefore, the GCF of 6737/115,9569/343 is 1/39445.
To find the highest common factor of 6737,9569, we have to find the factors of both numbers and list the highest common factor.
The factors of 6737 are 1, 6737
The factors of 9569 are 1, 7, 1367, 9569
The HCF of 6737,9569 is 1.
Lets's calculate GCF of 6737,9569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6737,9569 By Matching Biggest Common Factor Method
Now, list down the factors of 6737
:1,6737
Now, list down the factors of 9569
:1,7,1367,9569
Greatest Common Factor
We found the factors 6737,9569 . The biggest common factor number is the GCF number.
So the greatest common factor 6737,9569 is 1.
Lets's calculate LCM of 115,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 39445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39445
Therefore, the GCF of Fractions 6737/115,9569/343 is 1/39445
Least Common Multiple of 115,343 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 115,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,343) x common factors =1 x 1 = 1
LCM(115,343) = ( 115 × 343 ) / 1
LCM(115,343) = 39445 / 1
LCM(115,343) = 39445
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FAQs on GCF of Fractions of 6737/115, 9569/343
1. What is the HCF of 6737,9569?
The HCF of 6737,9569 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 6737/115, 9569/343?
Answer: GCF of Numerators as per given numbers 6737/115, 9569/343 is
GCF of Numerators i.e. for 6737,9569 is 1
LCM of denominators i.e. for 115,343 is 39445.
Thus, GCF of Fractions is 1/39445.Finally, GCF of Fractions for 6737/115, 9569/343 is 1/39445.