GCF of 2118/243, 4782/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2118/243, 4782/198 i.e 6/5346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2118/243, 4782/198.
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 2118/243,4782/198?
Given fractions are 2118/243,4782/198
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 2118/243,4782/198, numerators are 2118,4782
Denominators are 243,198
The GCF of 2118,4782 is 6 .
LCM of 243,198 is 5346.
The greatest common factor of 2118/243,4782/198 = [GCF of 2118,4782]/[LCM of 243,198]= 6/5346
Therefore, the GCF of 2118/243,4782/198 is 6/5346.
To find the highest common factor of 2118,4782, we have to find the factors of both numbers and list the highest common factor.
The factors of 2118 are 1, 2, 3, 6, 353, 706, 1059, 2118
The factors of 4782 are 1, 2, 3, 6, 797, 1594, 2391, 4782
The HCF of 2118,4782 is 6.
Lets's calculate GCF of 2118,4782
| 2 | 2118, 4782 |
| 3 | 1059, 2391 |
| 353, 797 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2118,4782 By Matching Biggest Common Factor Method
Now, list down the factors of 2118
:1,2,3,6,353,706,1059,2118
Now, list down the factors of 4782
:1,2,3,6,797,1594,2391,4782
Greatest Common Factor
We found the factors 2118,4782 . The biggest common factor number is the GCF number.
So the greatest common factor 2118,4782 is 6.
Lets's calculate LCM of 243,198
| 3 | 243, 198 |
| 3 | 81, 66 |
| 27, 22 |
∴ So the LCM of the given numbers is 3 x 3 x 27 x 22 = 5346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5346
Therefore, the GCF of Fractions 2118/243,4782/198 is 6/5346
Least Common Multiple of 243,198 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 243,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,198) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(243,198) x common factors =9 x 1 = 9
LCM(243,198) = ( 243 × 198 ) / 9
LCM(243,198) = 48114 / 9
LCM(243,198) = 5346
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FAQs on GCF of Fractions of 2118/243, 4782/198
1. What is the HCF of 2118,4782?
The HCF of 2118,4782 is 6
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 2118/243, 4782/198?
Answer: GCF of Numerators as per given numbers 2118/243, 4782/198 is
GCF of Numerators i.e. for 2118,4782 is 6
LCM of denominators i.e. for 243,198 is 5346.
Thus, GCF of Fractions is 6/5346.Finally, GCF of Fractions for 2118/243, 4782/198 is 6/5346.