GCF of 5993/997, 4149/5996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5993/997, 4149/5996 i.e 461/5978012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5993/997, 4149/5996.
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 5993/997,4149/5996?
Given fractions are 5993/997,4149/5996
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 5993/997,4149/5996, numerators are 5993,4149
Denominators are 997,5996
The GCF of 5993,4149 is 461 .
LCM of 997,5996 is 5978012.
The greatest common factor of 5993/997,4149/5996 = [GCF of 5993,4149]/[LCM of 997,5996]= 461/5978012
Therefore, the GCF of 5993/997,4149/5996 is 461/5978012.
To find the highest common factor of 5993,4149, we have to find the factors of both numbers and list the highest common factor.
The factors of 5993 are 1, 13, 461, 5993
The factors of 4149 are 1, 3, 9, 461, 1383, 4149
The HCF of 5993,4149 is 461.
Lets's calculate GCF of 5993,4149
| 461 | 5993, 4149 |
| 13, 9 |
∴ So the GCF of the given numbers is 461 = 461
Greatest Common Factor of 5993,4149 By Matching Biggest Common Factor Method
Now, list down the factors of 5993
:1,13,461,5993
Now, list down the factors of 4149
:1,3,9,461,1383,4149
Greatest Common Factor
We found the factors 5993,4149 . The biggest common factor number is the GCF number.
So the greatest common factor 5993,4149 is 461.
Lets's calculate LCM of 997,5996
Given numbers has no common factors except 1. So, there LCM is their product i.e 5978012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 461/5978012
Therefore, the GCF of Fractions 5993/997,4149/5996 is 461/5978012
Least Common Multiple of 997,5996 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 997,5996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,5996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,5996) x common factors =1 x 1 = 1
LCM(997,5996) = ( 997 × 5996 ) / 1
LCM(997,5996) = 5978012 / 1
LCM(997,5996) = 5978012
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FAQs on GCF of Fractions of 5993/997, 4149/5996
1. What is the HCF of 5993,4149?
The HCF of 5993,4149 is 461
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 5993/997, 4149/5996?
Answer: GCF of Numerators as per given numbers 5993/997, 4149/5996 is
GCF of Numerators i.e. for 5993,4149 is 461
LCM of denominators i.e. for 997,5996 is 5978012.
Thus, GCF of Fractions is 461/5978012.Finally, GCF of Fractions for 5993/997, 4149/5996 is 461/5978012.