GCF of 9368/783, 9729/3018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9368/783, 9729/3018 i.e 1/787698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9368/783, 9729/3018.
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 9368/783,9729/3018?
Given fractions are 9368/783,9729/3018
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 9368/783,9729/3018, numerators are 9368,9729
Denominators are 783,3018
The GCF of 9368,9729 is 1 .
LCM of 783,3018 is 787698.
The greatest common factor of 9368/783,9729/3018 = [GCF of 9368,9729]/[LCM of 783,3018]= 1/787698
Therefore, the GCF of 9368/783,9729/3018 is 1/787698.
To find the highest common factor of 9368,9729, we have to find the factors of both numbers and list the highest common factor.
The factors of 9368 are 1, 2, 4, 8, 1171, 2342, 4684, 9368
The factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729
The HCF of 9368,9729 is 1.
Lets's calculate GCF of 9368,9729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9368,9729 By Matching Biggest Common Factor Method
Now, list down the factors of 9368
:1,2,4,8,1171,2342,4684,9368
Now, list down the factors of 9729
:1,3,9,23,47,69,141,207,423,1081,3243,9729
Greatest Common Factor
We found the factors 9368,9729 . The biggest common factor number is the GCF number.
So the greatest common factor 9368,9729 is 1.
Lets's calculate LCM of 783,3018
| 3 | 783, 3018 |
| 261, 1006 |
∴ So the LCM of the given numbers is 3 x 261 x 1006 = 787698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/787698
Therefore, the GCF of Fractions 9368/783,9729/3018 is 1/787698
Least Common Multiple of 783,3018 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 783,3018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,3018) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,3018) x common factors =3 x 1 = 3
LCM(783,3018) = ( 783 × 3018 ) / 3
LCM(783,3018) = 2363094 / 3
LCM(783,3018) = 787698
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FAQs on GCF of Fractions of 9368/783, 9729/3018
1. What is the HCF of 9368,9729?
The HCF of 9368,9729 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 9368/783, 9729/3018?
Answer: GCF of Numerators as per given numbers 9368/783, 9729/3018 is
GCF of Numerators i.e. for 9368,9729 is 1
LCM of denominators i.e. for 783,3018 is 787698.
Thus, GCF of Fractions is 1/787698.Finally, GCF of Fractions for 9368/783, 9729/3018 is 1/787698.