GCF of 9755/667, 7831/5757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9755/667, 7831/5757 i.e 1/3839919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9755/667, 7831/5757.
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 9755/667,7831/5757?
Given fractions are 9755/667,7831/5757
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 9755/667,7831/5757, numerators are 9755,7831
Denominators are 667,5757
The GCF of 9755,7831 is 1 .
LCM of 667,5757 is 3839919.
The greatest common factor of 9755/667,7831/5757 = [GCF of 9755,7831]/[LCM of 667,5757]= 1/3839919
Therefore, the GCF of 9755/667,7831/5757 is 1/3839919.
To find the highest common factor of 9755,7831, we have to find the factors of both numbers and list the highest common factor.
The factors of 9755 are 1, 5, 1951, 9755
The factors of 7831 are 1, 41, 191, 7831
The HCF of 9755,7831 is 1.
Lets's calculate GCF of 9755,7831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9755,7831 By Matching Biggest Common Factor Method
Now, list down the factors of 9755
:1,5,1951,9755
Now, list down the factors of 7831
:1,41,191,7831
Greatest Common Factor
We found the factors 9755,7831 . The biggest common factor number is the GCF number.
So the greatest common factor 9755,7831 is 1.
Lets's calculate LCM of 667,5757
Given numbers has no common factors except 1. So, there LCM is their product i.e 3839919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3839919
Therefore, the GCF of Fractions 9755/667,7831/5757 is 1/3839919
Least Common Multiple of 667,5757 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 667,5757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,5757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,5757) x common factors =1 x 1 = 1
LCM(667,5757) = ( 667 × 5757 ) / 1
LCM(667,5757) = 3839919 / 1
LCM(667,5757) = 3839919
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FAQs on GCF of Fractions of 9755/667, 7831/5757
1. What is the HCF of 9755,7831?
The HCF of 9755,7831 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 9755/667, 7831/5757?
Answer: GCF of Numerators as per given numbers 9755/667, 7831/5757 is
GCF of Numerators i.e. for 9755,7831 is 1
LCM of denominators i.e. for 667,5757 is 3839919.
Thus, GCF of Fractions is 1/3839919.Finally, GCF of Fractions for 9755/667, 7831/5757 is 1/3839919.