GCF of 9811/896, 9816/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9811/896, 9816/517 i.e 1/463232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9811/896, 9816/517.
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 9811/896,9816/517?
Given fractions are 9811/896,9816/517
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 9811/896,9816/517, numerators are 9811,9816
Denominators are 896,517
The GCF of 9811,9816 is 1 .
LCM of 896,517 is 463232.
The greatest common factor of 9811/896,9816/517 = [GCF of 9811,9816]/[LCM of 896,517]= 1/463232
Therefore, the GCF of 9811/896,9816/517 is 1/463232.
To find the highest common factor of 9811,9816, we have to find the factors of both numbers and list the highest common factor.
The factors of 9811 are 1, 9811
The factors of 9816 are 1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816
The HCF of 9811,9816 is 1.
Lets's calculate GCF of 9811,9816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9811,9816 By Matching Biggest Common Factor Method
Now, list down the factors of 9811
:1,9811
Now, list down the factors of 9816
:1,2,3,4,6,8,12,24,409,818,1227,1636,2454,3272,4908,9816
Greatest Common Factor
We found the factors 9811,9816 . The biggest common factor number is the GCF number.
So the greatest common factor 9811,9816 is 1.
Lets's calculate LCM of 896,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 463232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/463232
Therefore, the GCF of Fractions 9811/896,9816/517 is 1/463232
Least Common Multiple of 896,517 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 896,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(896,517) x common factors =1 x 1 = 1
LCM(896,517) = ( 896 × 517 ) / 1
LCM(896,517) = 463232 / 1
LCM(896,517) = 463232
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FAQs on GCF of Fractions of 9811/896, 9816/517
1. What is the HCF of 9811,9816?
The HCF of 9811,9816 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 9811/896, 9816/517?
Answer: GCF of Numerators as per given numbers 9811/896, 9816/517 is
GCF of Numerators i.e. for 9811,9816 is 1
LCM of denominators i.e. for 896,517 is 463232.
Thus, GCF of Fractions is 1/463232.Finally, GCF of Fractions for 9811/896, 9816/517 is 1/463232.