GCF of 7983/344, 9483/7980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7983/344, 9483/7980 i.e 3/686280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7983/344, 9483/7980.
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 7983/344,9483/7980?
Given fractions are 7983/344,9483/7980
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 7983/344,9483/7980, numerators are 7983,9483
Denominators are 344,7980
The GCF of 7983,9483 is 3 .
LCM of 344,7980 is 686280.
The greatest common factor of 7983/344,9483/7980 = [GCF of 7983,9483]/[LCM of 344,7980]= 3/686280
Therefore, the GCF of 7983/344,9483/7980 is 3/686280.
To find the highest common factor of 7983,9483, we have to find the factors of both numbers and list the highest common factor.
The factors of 7983 are 1, 3, 9, 887, 2661, 7983
The factors of 9483 are 1, 3, 29, 87, 109, 327, 3161, 9483
The HCF of 7983,9483 is 3.
Lets's calculate GCF of 7983,9483
| 3 | 7983, 9483 |
| 2661, 3161 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7983,9483 By Matching Biggest Common Factor Method
Now, list down the factors of 7983
:1,3,9,887,2661,7983
Now, list down the factors of 9483
:1,3,29,87,109,327,3161,9483
Greatest Common Factor
We found the factors 7983,9483 . The biggest common factor number is the GCF number.
So the greatest common factor 7983,9483 is 3.
Lets's calculate LCM of 344,7980
| 2 | 344, 7980 |
| 2 | 172, 3990 |
| 86, 1995 |
∴ So the LCM of the given numbers is 2 x 2 x 86 x 1995 = 686280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/686280
Therefore, the GCF of Fractions 7983/344,9483/7980 is 3/686280
Least Common Multiple of 344,7980 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 344,7980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,7980) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(344,7980) x common factors =4 x 1 = 4
LCM(344,7980) = ( 344 × 7980 ) / 4
LCM(344,7980) = 2745120 / 4
LCM(344,7980) = 686280
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FAQs on GCF of Fractions of 7983/344, 9483/7980
1. What is the HCF of 7983,9483?
The HCF of 7983,9483 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 7983/344, 9483/7980?
Answer: GCF of Numerators as per given numbers 7983/344, 9483/7980 is
GCF of Numerators i.e. for 7983,9483 is 3
LCM of denominators i.e. for 344,7980 is 686280.
Thus, GCF of Fractions is 3/686280.Finally, GCF of Fractions for 7983/344, 9483/7980 is 3/686280.