GCF of 9693/743, 8103/163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9693/743, 8103/163 i.e 3/121109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9693/743, 8103/163.
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 9693/743,8103/163?
Given fractions are 9693/743,8103/163
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 9693/743,8103/163, numerators are 9693,8103
Denominators are 743,163
The GCF of 9693,8103 is 3 .
LCM of 743,163 is 121109.
The greatest common factor of 9693/743,8103/163 = [GCF of 9693,8103]/[LCM of 743,163]= 3/121109
Therefore, the GCF of 9693/743,8103/163 is 3/121109.
To find the highest common factor of 9693,8103, we have to find the factors of both numbers and list the highest common factor.
The factors of 9693 are 1, 3, 9, 27, 359, 1077, 3231, 9693
The factors of 8103 are 1, 3, 37, 73, 111, 219, 2701, 8103
The HCF of 9693,8103 is 3.
Lets's calculate GCF of 9693,8103
| 3 | 9693, 8103 |
| 3231, 2701 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9693,8103 By Matching Biggest Common Factor Method
Now, list down the factors of 9693
:1,3,9,27,359,1077,3231,9693
Now, list down the factors of 8103
:1,3,37,73,111,219,2701,8103
Greatest Common Factor
We found the factors 9693,8103 . The biggest common factor number is the GCF number.
So the greatest common factor 9693,8103 is 3.
Lets's calculate LCM of 743,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 121109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/121109
Therefore, the GCF of Fractions 9693/743,8103/163 is 3/121109
Least Common Multiple of 743,163 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 743,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,163) x common factors =1 x 1 = 1
LCM(743,163) = ( 743 × 163 ) / 1
LCM(743,163) = 121109 / 1
LCM(743,163) = 121109
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FAQs on GCF of Fractions of 9693/743, 8103/163
1. What is the HCF of 9693,8103?
The HCF of 9693,8103 is 3
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 9693/743, 8103/163?
Answer: GCF of Numerators as per given numbers 9693/743, 8103/163 is
GCF of Numerators i.e. for 9693,8103 is 3
LCM of denominators i.e. for 743,163 is 121109.
Thus, GCF of Fractions is 3/121109.Finally, GCF of Fractions for 9693/743, 8103/163 is 3/121109.