GCF of 927/998, 138/243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 927/998, 138/243 i.e 3/242514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 927/998, 138/243.
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 927/998,138/243?
Given fractions are 927/998,138/243
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 927/998,138/243, numerators are 927,138
Denominators are 998,243
The GCF of 927,138 is 3 .
LCM of 998,243 is 242514.
The greatest common factor of 927/998,138/243 = [GCF of 927,138]/[LCM of 998,243]= 3/242514
Therefore, the GCF of 927/998,138/243 is 3/242514.
To find the highest common factor of 927,138, we have to find the factors of both numbers and list the highest common factor.
The factors of 927 are 1, 3, 9, 103, 309, 927
The factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138
The HCF of 927,138 is 3.
Lets's calculate GCF of 927,138
| 3 | 927, 138 |
| 309, 46 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 927,138 By Matching Biggest Common Factor Method
Now, list down the factors of 927
:1,3,9,103,309,927
Now, list down the factors of 138
:1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 927,138 . The biggest common factor number is the GCF number.
So the greatest common factor 927,138 is 3.
Lets's calculate LCM of 998,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 242514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/242514
Therefore, the GCF of Fractions 927/998,138/243 is 3/242514
Least Common Multiple of 998,243 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 998,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,243) x common factors =1 x 1 = 1
LCM(998,243) = ( 998 × 243 ) / 1
LCM(998,243) = 242514 / 1
LCM(998,243) = 242514
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FAQs on GCF of Fractions of 927/998, 138/243
1. What is the HCF of 927,138?
The HCF of 927,138 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 927/998, 138/243?
Answer: GCF of Numerators as per given numbers 927/998, 138/243 is
GCF of Numerators i.e. for 927,138 is 3
LCM of denominators i.e. for 998,243 is 242514.
Thus, GCF of Fractions is 3/242514.Finally, GCF of Fractions for 927/998, 138/243 is 3/242514.