GCF of 9505/313, 8642/807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9505/313, 8642/807 i.e 1/252591 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9505/313, 8642/807.
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 9505/313,8642/807?
Given fractions are 9505/313,8642/807
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 9505/313,8642/807, numerators are 9505,8642
Denominators are 313,807
The GCF of 9505,8642 is 1 .
LCM of 313,807 is 252591.
The greatest common factor of 9505/313,8642/807 = [GCF of 9505,8642]/[LCM of 313,807]= 1/252591
Therefore, the GCF of 9505/313,8642/807 is 1/252591.
To find the highest common factor of 9505,8642, we have to find the factors of both numbers and list the highest common factor.
The factors of 9505 are 1, 5, 1901, 9505
The factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642
The HCF of 9505,8642 is 1.
Lets's calculate GCF of 9505,8642
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9505,8642 By Matching Biggest Common Factor Method
Now, list down the factors of 9505
:1,5,1901,9505
Now, list down the factors of 8642
:1,2,29,58,149,298,4321,8642
Greatest Common Factor
We found the factors 9505,8642 . The biggest common factor number is the GCF number.
So the greatest common factor 9505,8642 is 1.
Lets's calculate LCM of 313,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 252591
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252591
Therefore, the GCF of Fractions 9505/313,8642/807 is 1/252591
Least Common Multiple of 313,807 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 313,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,807) x common factors =1 x 1 = 1
LCM(313,807) = ( 313 × 807 ) / 1
LCM(313,807) = 252591 / 1
LCM(313,807) = 252591
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FAQs on GCF of Fractions of 9505/313, 8642/807
1. What is the HCF of 9505,8642?
The HCF of 9505,8642 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 9505/313, 8642/807?
Answer: GCF of Numerators as per given numbers 9505/313, 8642/807 is
GCF of Numerators i.e. for 9505,8642 is 1
LCM of denominators i.e. for 313,807 is 252591.
Thus, GCF of Fractions is 1/252591.Finally, GCF of Fractions for 9505/313, 8642/807 is 1/252591.