GCF of 3983/728, 8633/8912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3983/728, 8633/8912 i.e 1/810992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3983/728, 8633/8912.
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 3983/728,8633/8912?
Given fractions are 3983/728,8633/8912
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 3983/728,8633/8912, numerators are 3983,8633
Denominators are 728,8912
The GCF of 3983,8633 is 1 .
LCM of 728,8912 is 810992.
The greatest common factor of 3983/728,8633/8912 = [GCF of 3983,8633]/[LCM of 728,8912]= 1/810992
Therefore, the GCF of 3983/728,8633/8912 is 1/810992.
To find the highest common factor of 3983,8633, we have to find the factors of both numbers and list the highest common factor.
The factors of 3983 are 1, 7, 569, 3983
The factors of 8633 are 1, 89, 97, 8633
The HCF of 3983,8633 is 1.
Lets's calculate GCF of 3983,8633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3983,8633 By Matching Biggest Common Factor Method
Now, list down the factors of 3983
:1,7,569,3983
Now, list down the factors of 8633
:1,89,97,8633
Greatest Common Factor
We found the factors 3983,8633 . The biggest common factor number is the GCF number.
So the greatest common factor 3983,8633 is 1.
Lets's calculate LCM of 728,8912
| 2 | 728, 8912 |
| 2 | 364, 4456 |
| 2 | 182, 2228 |
| 91, 1114 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 91 x 1114 = 810992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/810992
Therefore, the GCF of Fractions 3983/728,8633/8912 is 1/810992
Least Common Multiple of 728,8912 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 728,8912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,8912) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(728,8912) x common factors =8 x 1 = 8
LCM(728,8912) = ( 728 × 8912 ) / 8
LCM(728,8912) = 6487936 / 8
LCM(728,8912) = 810992
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FAQs on GCF of Fractions of 3983/728, 8633/8912
1. What is the HCF of 3983,8633?
The HCF of 3983,8633 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 3983/728, 8633/8912?
Answer: GCF of Numerators as per given numbers 3983/728, 8633/8912 is
GCF of Numerators i.e. for 3983,8633 is 1
LCM of denominators i.e. for 728,8912 is 810992.
Thus, GCF of Fractions is 1/810992.Finally, GCF of Fractions for 3983/728, 8633/8912 is 1/810992.