GCF of 5988/243, 7844/7113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5988/243, 7844/7113 i.e 4/576153 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5988/243, 7844/7113.
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 5988/243,7844/7113?
Given fractions are 5988/243,7844/7113
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 5988/243,7844/7113, numerators are 5988,7844
Denominators are 243,7113
The GCF of 5988,7844 is 4 .
LCM of 243,7113 is 576153.
The greatest common factor of 5988/243,7844/7113 = [GCF of 5988,7844]/[LCM of 243,7113]= 4/576153
Therefore, the GCF of 5988/243,7844/7113 is 4/576153.
To find the highest common factor of 5988,7844, we have to find the factors of both numbers and list the highest common factor.
The factors of 5988 are 1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996, 2994, 5988
The factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844
The HCF of 5988,7844 is 4.
Lets's calculate GCF of 5988,7844
| 2 | 5988, 7844 |
| 2 | 2994, 3922 |
| 1497, 1961 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5988,7844 By Matching Biggest Common Factor Method
Now, list down the factors of 5988
:1,2,3,4,6,12,499,998,1497,1996,2994,5988
Now, list down the factors of 7844
:1,2,4,37,53,74,106,148,212,1961,3922,7844
Greatest Common Factor
We found the factors 5988,7844 . The biggest common factor number is the GCF number.
So the greatest common factor 5988,7844 is 4.
Lets's calculate LCM of 243,7113
| 3 | 243, 7113 |
| 81, 2371 |
∴ So the LCM of the given numbers is 3 x 81 x 2371 = 576153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/576153
Therefore, the GCF of Fractions 5988/243,7844/7113 is 4/576153
Least Common Multiple of 243,7113 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 243,7113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,7113) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(243,7113) x common factors =3 x 1 = 3
LCM(243,7113) = ( 243 × 7113 ) / 3
LCM(243,7113) = 1728459 / 3
LCM(243,7113) = 576153
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FAQs on GCF of Fractions of 5988/243, 7844/7113
1. What is the HCF of 5988,7844?
The HCF of 5988,7844 is 4
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 5988/243, 7844/7113?
Answer: GCF of Numerators as per given numbers 5988/243, 7844/7113 is
GCF of Numerators i.e. for 5988,7844 is 4
LCM of denominators i.e. for 243,7113 is 576153.
Thus, GCF of Fractions is 4/576153.Finally, GCF of Fractions for 5988/243, 7844/7113 is 4/576153.