GCF of 3992/748, 8193/9503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3992/748, 8193/9503 i.e 1/418132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3992/748, 8193/9503.
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 3992/748,8193/9503?
Given fractions are 3992/748,8193/9503
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 3992/748,8193/9503, numerators are 3992,8193
Denominators are 748,9503
The GCF of 3992,8193 is 1 .
LCM of 748,9503 is 418132.
The greatest common factor of 3992/748,8193/9503 = [GCF of 3992,8193]/[LCM of 748,9503]= 1/418132
Therefore, the GCF of 3992/748,8193/9503 is 1/418132.
To find the highest common factor of 3992,8193, we have to find the factors of both numbers and list the highest common factor.
The factors of 3992 are 1, 2, 4, 8, 499, 998, 1996, 3992
The factors of 8193 are 1, 3, 2731, 8193
The HCF of 3992,8193 is 1.
Lets's calculate GCF of 3992,8193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3992,8193 By Matching Biggest Common Factor Method
Now, list down the factors of 3992
:1,2,4,8,499,998,1996,3992
Now, list down the factors of 8193
:1,3,2731,8193
Greatest Common Factor
We found the factors 3992,8193 . The biggest common factor number is the GCF number.
So the greatest common factor 3992,8193 is 1.
Lets's calculate LCM of 748,9503
| 17 | 748, 9503 |
| 44, 559 |
∴ So the LCM of the given numbers is 17 x 44 x 559 = 418132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418132
Therefore, the GCF of Fractions 3992/748,8193/9503 is 1/418132
Least Common Multiple of 748,9503 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 748,9503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,9503) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(748,9503) x common factors =17 x 1 = 17
LCM(748,9503) = ( 748 × 9503 ) / 17
LCM(748,9503) = 7108244 / 17
LCM(748,9503) = 418132
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FAQs on GCF of Fractions of 3992/748, 8193/9503
1. What is the HCF of 3992,8193?
The HCF of 3992,8193 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 3992/748, 8193/9503?
Answer: GCF of Numerators as per given numbers 3992/748, 8193/9503 is
GCF of Numerators i.e. for 3992,8193 is 1
LCM of denominators i.e. for 748,9503 is 418132.
Thus, GCF of Fractions is 1/418132.Finally, GCF of Fractions for 3992/748, 8193/9503 is 1/418132.