GCF of 9343/804, 7604/1923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9343/804, 7604/1923 i.e 1/515364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9343/804, 7604/1923.
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 9343/804,7604/1923?
Given fractions are 9343/804,7604/1923
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 9343/804,7604/1923, numerators are 9343,7604
Denominators are 804,1923
The GCF of 9343,7604 is 1 .
LCM of 804,1923 is 515364.
The greatest common factor of 9343/804,7604/1923 = [GCF of 9343,7604]/[LCM of 804,1923]= 1/515364
Therefore, the GCF of 9343/804,7604/1923 is 1/515364.
To find the highest common factor of 9343,7604, we have to find the factors of both numbers and list the highest common factor.
The factors of 9343 are 1, 9343
The factors of 7604 are 1, 2, 4, 1901, 3802, 7604
The HCF of 9343,7604 is 1.
Lets's calculate GCF of 9343,7604
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9343,7604 By Matching Biggest Common Factor Method
Now, list down the factors of 9343
:1,9343
Now, list down the factors of 7604
:1,2,4,1901,3802,7604
Greatest Common Factor
We found the factors 9343,7604 . The biggest common factor number is the GCF number.
So the greatest common factor 9343,7604 is 1.
Lets's calculate LCM of 804,1923
| 3 | 804, 1923 |
| 268, 641 |
∴ So the LCM of the given numbers is 3 x 268 x 641 = 515364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515364
Therefore, the GCF of Fractions 9343/804,7604/1923 is 1/515364
Least Common Multiple of 804,1923 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 804,1923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,1923) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(804,1923) x common factors =3 x 1 = 3
LCM(804,1923) = ( 804 × 1923 ) / 3
LCM(804,1923) = 1546092 / 3
LCM(804,1923) = 515364
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FAQs on GCF of Fractions of 9343/804, 7604/1923
1. What is the HCF of 9343,7604?
The HCF of 9343,7604 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 9343/804, 7604/1923?
Answer: GCF of Numerators as per given numbers 9343/804, 7604/1923 is
GCF of Numerators i.e. for 9343,7604 is 1
LCM of denominators i.e. for 804,1923 is 515364.
Thus, GCF of Fractions is 1/515364.Finally, GCF of Fractions for 9343/804, 7604/1923 is 1/515364.