GCF of 8181/490, 9693/8563
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8181/490, 9693/8563 i.e 27/4195870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8181/490, 9693/8563.
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 8181/490,9693/8563?
Given fractions are 8181/490,9693/8563
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 8181/490,9693/8563, numerators are 8181,9693
Denominators are 490,8563
The GCF of 8181,9693 is 27 .
LCM of 490,8563 is 4195870.
The greatest common factor of 8181/490,9693/8563 = [GCF of 8181,9693]/[LCM of 490,8563]= 27/4195870
Therefore, the GCF of 8181/490,9693/8563 is 27/4195870.
To find the highest common factor of 8181,9693, we have to find the factors of both numbers and list the highest common factor.
The factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181
The factors of 9693 are 1, 3, 9, 27, 359, 1077, 3231, 9693
The HCF of 8181,9693 is 27.
Lets's calculate GCF of 8181,9693
| 3 | 8181, 9693 |
| 3 | 2727, 3231 |
| 3 | 909, 1077 |
| 303, 359 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 8181,9693 By Matching Biggest Common Factor Method
Now, list down the factors of 8181
:1,3,9,27,81,101,303,909,2727,8181
Now, list down the factors of 9693
:1,3,9,27,359,1077,3231,9693
Greatest Common Factor
We found the factors 8181,9693 . The biggest common factor number is the GCF number.
So the greatest common factor 8181,9693 is 27.
Lets's calculate LCM of 490,8563
Given numbers has no common factors except 1. So, there LCM is their product i.e 4195870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/4195870
Therefore, the GCF of Fractions 8181/490,9693/8563 is 27/4195870
Least Common Multiple of 490,8563 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 490,8563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,8563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(490,8563) x common factors =1 x 1 = 1
LCM(490,8563) = ( 490 × 8563 ) / 1
LCM(490,8563) = 4195870 / 1
LCM(490,8563) = 4195870
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FAQs on GCF of Fractions of 8181/490, 9693/8563
1. What is the HCF of 8181,9693?
The HCF of 8181,9693 is 27
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 8181/490, 9693/8563?
Answer: GCF of Numerators as per given numbers 8181/490, 9693/8563 is
GCF of Numerators i.e. for 8181,9693 is 27
LCM of denominators i.e. for 490,8563 is 4195870.
Thus, GCF of Fractions is 27/4195870.Finally, GCF of Fractions for 8181/490, 9693/8563 is 27/4195870.