GCF of 9806/985, 6816/9577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9806/985, 6816/9577 i.e 2/9433345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9806/985, 6816/9577.
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 9806/985,6816/9577?
Given fractions are 9806/985,6816/9577
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 9806/985,6816/9577, numerators are 9806,6816
Denominators are 985,9577
The GCF of 9806,6816 is 2 .
LCM of 985,9577 is 9433345.
The greatest common factor of 9806/985,6816/9577 = [GCF of 9806,6816]/[LCM of 985,9577]= 2/9433345
Therefore, the GCF of 9806/985,6816/9577 is 2/9433345.
To find the highest common factor of 9806,6816, we have to find the factors of both numbers and list the highest common factor.
The factors of 9806 are 1, 2, 4903, 9806
The factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816
The HCF of 9806,6816 is 2.
Lets's calculate GCF of 9806,6816
| 2 | 9806, 6816 |
| 4903, 3408 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9806,6816 By Matching Biggest Common Factor Method
Now, list down the factors of 9806
:1,2,4903,9806
Now, list down the factors of 6816
:1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816
Greatest Common Factor
We found the factors 9806,6816 . The biggest common factor number is the GCF number.
So the greatest common factor 9806,6816 is 2.
Lets's calculate LCM of 985,9577
Given numbers has no common factors except 1. So, there LCM is their product i.e 9433345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9433345
Therefore, the GCF of Fractions 9806/985,6816/9577 is 2/9433345
Least Common Multiple of 985,9577 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 985,9577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,9577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,9577) x common factors =1 x 1 = 1
LCM(985,9577) = ( 985 × 9577 ) / 1
LCM(985,9577) = 9433345 / 1
LCM(985,9577) = 9433345
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FAQs on GCF of Fractions of 9806/985, 6816/9577
1. What is the HCF of 9806,6816?
The HCF of 9806,6816 is 2
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 9806/985, 6816/9577?
Answer: GCF of Numerators as per given numbers 9806/985, 6816/9577 is
GCF of Numerators i.e. for 9806,6816 is 2
LCM of denominators i.e. for 985,9577 is 9433345.
Thus, GCF of Fractions is 2/9433345.Finally, GCF of Fractions for 9806/985, 6816/9577 is 2/9433345.