GCF of 6921/231, 7749/5445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6921/231, 7749/5445 i.e 9/38115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6921/231, 7749/5445.
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 6921/231,7749/5445?
Given fractions are 6921/231,7749/5445
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 6921/231,7749/5445, numerators are 6921,7749
Denominators are 231,5445
The GCF of 6921,7749 is 9 .
LCM of 231,5445 is 38115.
The greatest common factor of 6921/231,7749/5445 = [GCF of 6921,7749]/[LCM of 231,5445]= 9/38115
Therefore, the GCF of 6921/231,7749/5445 is 9/38115.
To find the highest common factor of 6921,7749, we have to find the factors of both numbers and list the highest common factor.
The factors of 6921 are 1, 3, 9, 769, 2307, 6921
The factors of 7749 are 1, 3, 7, 9, 21, 27, 41, 63, 123, 189, 287, 369, 861, 1107, 2583, 7749
The HCF of 6921,7749 is 9.
Lets's calculate GCF of 6921,7749
| 3 | 6921, 7749 |
| 3 | 2307, 2583 |
| 769, 861 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6921,7749 By Matching Biggest Common Factor Method
Now, list down the factors of 6921
:1,3,9,769,2307,6921
Now, list down the factors of 7749
:1,3,7,9,21,27,41,63,123,189,287,369,861,1107,2583,7749
Greatest Common Factor
We found the factors 6921,7749 . The biggest common factor number is the GCF number.
So the greatest common factor 6921,7749 is 9.
Lets's calculate LCM of 231,5445
| 3 | 231, 5445 |
| 11 | 77, 1815 |
| 7, 165 |
∴ So the LCM of the given numbers is 3 x 11 x 7 x 165 = 38115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/38115
Therefore, the GCF of Fractions 6921/231,7749/5445 is 9/38115
Least Common Multiple of 231,5445 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 231,5445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,5445) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(231,5445) x common factors =33 x 1 = 33
LCM(231,5445) = ( 231 × 5445 ) / 33
LCM(231,5445) = 1257795 / 33
LCM(231,5445) = 38115
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FAQs on GCF of Fractions of 6921/231, 7749/5445
1. What is the HCF of 6921,7749?
The HCF of 6921,7749 is 9
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 6921/231, 7749/5445?
Answer: GCF of Numerators as per given numbers 6921/231, 7749/5445 is
GCF of Numerators i.e. for 6921,7749 is 9
LCM of denominators i.e. for 231,5445 is 38115.
Thus, GCF of Fractions is 9/38115.Finally, GCF of Fractions for 6921/231, 7749/5445 is 9/38115.