GCF of 9277/347, 6634/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9277/347, 6634/755 i.e 1/261985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9277/347, 6634/755.
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 9277/347,6634/755?
Given fractions are 9277/347,6634/755
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 9277/347,6634/755, numerators are 9277,6634
Denominators are 347,755
The GCF of 9277,6634 is 1 .
LCM of 347,755 is 261985.
The greatest common factor of 9277/347,6634/755 = [GCF of 9277,6634]/[LCM of 347,755]= 1/261985
Therefore, the GCF of 9277/347,6634/755 is 1/261985.
To find the highest common factor of 9277,6634, we have to find the factors of both numbers and list the highest common factor.
The factors of 9277 are 1, 9277
The factors of 6634 are 1, 2, 31, 62, 107, 214, 3317, 6634
The HCF of 9277,6634 is 1.
Lets's calculate GCF of 9277,6634
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9277,6634 By Matching Biggest Common Factor Method
Now, list down the factors of 9277
:1,9277
Now, list down the factors of 6634
:1,2,31,62,107,214,3317,6634
Greatest Common Factor
We found the factors 9277,6634 . The biggest common factor number is the GCF number.
So the greatest common factor 9277,6634 is 1.
Lets's calculate LCM of 347,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 261985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261985
Therefore, the GCF of Fractions 9277/347,6634/755 is 1/261985
Least Common Multiple of 347,755 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 347,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,755) x common factors =1 x 1 = 1
LCM(347,755) = ( 347 × 755 ) / 1
LCM(347,755) = 261985 / 1
LCM(347,755) = 261985
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FAQs on GCF of Fractions of 9277/347, 6634/755
1. What is the HCF of 9277,6634?
The HCF of 9277,6634 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 9277/347, 6634/755?
Answer: GCF of Numerators as per given numbers 9277/347, 6634/755 is
GCF of Numerators i.e. for 9277,6634 is 1
LCM of denominators i.e. for 347,755 is 261985.
Thus, GCF of Fractions is 1/261985.Finally, GCF of Fractions for 9277/347, 6634/755 is 1/261985.