GCF of 6993/559, 1254/860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6993/559, 1254/860 i.e 3/11180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6993/559, 1254/860.
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 6993/559,1254/860?
Given fractions are 6993/559,1254/860
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 6993/559,1254/860, numerators are 6993,1254
Denominators are 559,860
The GCF of 6993,1254 is 3 .
LCM of 559,860 is 11180.
The greatest common factor of 6993/559,1254/860 = [GCF of 6993,1254]/[LCM of 559,860]= 3/11180
Therefore, the GCF of 6993/559,1254/860 is 3/11180.
To find the highest common factor of 6993,1254, we have to find the factors of both numbers and list the highest common factor.
The factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993
The factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254
The HCF of 6993,1254 is 3.
Lets's calculate GCF of 6993,1254
| 3 | 6993, 1254 |
| 2331, 418 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6993,1254 By Matching Biggest Common Factor Method
Now, list down the factors of 6993
:1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993
Now, list down the factors of 1254
:1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Greatest Common Factor
We found the factors 6993,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 6993,1254 is 3.
Lets's calculate LCM of 559,860
| 43 | 559, 860 |
| 13, 20 |
∴ So the LCM of the given numbers is 43 x 13 x 20 = 11180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11180
Therefore, the GCF of Fractions 6993/559,1254/860 is 3/11180
Least Common Multiple of 559,860 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 559,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,860) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(559,860) x common factors =43 x 1 = 43
LCM(559,860) = ( 559 × 860 ) / 43
LCM(559,860) = 480740 / 43
LCM(559,860) = 11180
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FAQs on GCF of Fractions of 6993/559, 1254/860
1. What is the HCF of 6993,1254?
The HCF of 6993,1254 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 6993/559, 1254/860?
Answer: GCF of Numerators as per given numbers 6993/559, 1254/860 is
GCF of Numerators i.e. for 6993,1254 is 3
LCM of denominators i.e. for 559,860 is 11180.
Thus, GCF of Fractions is 3/11180.Finally, GCF of Fractions for 6993/559, 1254/860 is 3/11180.