GCF of 6993/748, 9783/1006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6993/748, 9783/1006 i.e 9/376244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6993/748, 9783/1006.
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 6993/748,9783/1006?
Given fractions are 6993/748,9783/1006
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 6993/748,9783/1006, numerators are 6993,9783
Denominators are 748,1006
The GCF of 6993,9783 is 9 .
LCM of 748,1006 is 376244.
The greatest common factor of 6993/748,9783/1006 = [GCF of 6993,9783]/[LCM of 748,1006]= 9/376244
Therefore, the GCF of 6993/748,9783/1006 is 9/376244.
To find the highest common factor of 6993,9783, 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 9783 are 1, 3, 9, 1087, 3261, 9783
The HCF of 6993,9783 is 9.
Lets's calculate GCF of 6993,9783
| 3 | 6993, 9783 |
| 3 | 2331, 3261 |
| 777, 1087 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6993,9783 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 9783
:1,3,9,1087,3261,9783
Greatest Common Factor
We found the factors 6993,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 6993,9783 is 9.
Lets's calculate LCM of 748,1006
| 2 | 748, 1006 |
| 374, 503 |
∴ So the LCM of the given numbers is 2 x 374 x 503 = 376244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/376244
Therefore, the GCF of Fractions 6993/748,9783/1006 is 9/376244
Least Common Multiple of 748,1006 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 748,1006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,1006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(748,1006) x common factors =2 x 1 = 2
LCM(748,1006) = ( 748 × 1006 ) / 2
LCM(748,1006) = 752488 / 2
LCM(748,1006) = 376244
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FAQs on GCF of Fractions of 6993/748, 9783/1006
1. What is the HCF of 6993,9783?
The HCF of 6993,9783 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 6993/748, 9783/1006?
Answer: GCF of Numerators as per given numbers 6993/748, 9783/1006 is
GCF of Numerators i.e. for 6993,9783 is 9
LCM of denominators i.e. for 748,1006 is 376244.
Thus, GCF of Fractions is 9/376244.Finally, GCF of Fractions for 6993/748, 9783/1006 is 9/376244.