GCF of 9710/128, 8193/8207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9710/128, 8193/8207 i.e 1/1050496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9710/128, 8193/8207.
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 9710/128,8193/8207?
Given fractions are 9710/128,8193/8207
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 9710/128,8193/8207, numerators are 9710,8193
Denominators are 128,8207
The GCF of 9710,8193 is 1 .
LCM of 128,8207 is 1050496.
The greatest common factor of 9710/128,8193/8207 = [GCF of 9710,8193]/[LCM of 128,8207]= 1/1050496
Therefore, the GCF of 9710/128,8193/8207 is 1/1050496.
To find the highest common factor of 9710,8193, we have to find the factors of both numbers and list the highest common factor.
The factors of 9710 are 1, 2, 5, 10, 971, 1942, 4855, 9710
The factors of 8193 are 1, 3, 2731, 8193
The HCF of 9710,8193 is 1.
Lets's calculate GCF of 9710,8193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9710,8193 By Matching Biggest Common Factor Method
Now, list down the factors of 9710
:1,2,5,10,971,1942,4855,9710
Now, list down the factors of 8193
:1,3,2731,8193
Greatest Common Factor
We found the factors 9710,8193 . The biggest common factor number is the GCF number.
So the greatest common factor 9710,8193 is 1.
Lets's calculate LCM of 128,8207
Given numbers has no common factors except 1. So, there LCM is their product i.e 1050496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1050496
Therefore, the GCF of Fractions 9710/128,8193/8207 is 1/1050496
Least Common Multiple of 128,8207 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 128,8207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,8207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,8207) x common factors =1 x 1 = 1
LCM(128,8207) = ( 128 × 8207 ) / 1
LCM(128,8207) = 1050496 / 1
LCM(128,8207) = 1050496
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FAQs on GCF of Fractions of 9710/128, 8193/8207
1. What is the HCF of 9710,8193?
The HCF of 9710,8193 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 9710/128, 8193/8207?
Answer: GCF of Numerators as per given numbers 9710/128, 8193/8207 is
GCF of Numerators i.e. for 9710,8193 is 1
LCM of denominators i.e. for 128,8207 is 1050496.
Thus, GCF of Fractions is 1/1050496.Finally, GCF of Fractions for 9710/128, 8193/8207 is 1/1050496.