GCF of 9123/294, 7013/6643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9123/294, 7013/6643 i.e 1/279006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9123/294, 7013/6643.
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 9123/294,7013/6643?
Given fractions are 9123/294,7013/6643
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 9123/294,7013/6643, numerators are 9123,7013
Denominators are 294,6643
The GCF of 9123,7013 is 1 .
LCM of 294,6643 is 279006.
The greatest common factor of 9123/294,7013/6643 = [GCF of 9123,7013]/[LCM of 294,6643]= 1/279006
Therefore, the GCF of 9123/294,7013/6643 is 1/279006.
To find the highest common factor of 9123,7013, we have to find the factors of both numbers and list the highest common factor.
The factors of 9123 are 1, 3, 3041, 9123
The factors of 7013 are 1, 7013
The HCF of 9123,7013 is 1.
Lets's calculate GCF of 9123,7013
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9123,7013 By Matching Biggest Common Factor Method
Now, list down the factors of 9123
:1,3,3041,9123
Now, list down the factors of 7013
:1,7013
Greatest Common Factor
We found the factors 9123,7013 . The biggest common factor number is the GCF number.
So the greatest common factor 9123,7013 is 1.
Lets's calculate LCM of 294,6643
| 7 | 294, 6643 |
| 42, 949 |
∴ So the LCM of the given numbers is 7 x 42 x 949 = 279006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279006
Therefore, the GCF of Fractions 9123/294,7013/6643 is 1/279006
Least Common Multiple of 294,6643 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 294,6643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,6643) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(294,6643) x common factors =7 x 1 = 7
LCM(294,6643) = ( 294 × 6643 ) / 7
LCM(294,6643) = 1953042 / 7
LCM(294,6643) = 279006
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FAQs on GCF of Fractions of 9123/294, 7013/6643
1. What is the HCF of 9123,7013?
The HCF of 9123,7013 is 1
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 9123/294, 7013/6643?
Answer: GCF of Numerators as per given numbers 9123/294, 7013/6643 is
GCF of Numerators i.e. for 9123,7013 is 1
LCM of denominators i.e. for 294,6643 is 279006.
Thus, GCF of Fractions is 1/279006.Finally, GCF of Fractions for 9123/294, 7013/6643 is 1/279006.