GCF of 6945/138, 3193/2268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6945/138, 3193/2268 i.e 1/52164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6945/138, 3193/2268.
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 6945/138,3193/2268?
Given fractions are 6945/138,3193/2268
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 6945/138,3193/2268, numerators are 6945,3193
Denominators are 138,2268
The GCF of 6945,3193 is 1 .
LCM of 138,2268 is 52164.
The greatest common factor of 6945/138,3193/2268 = [GCF of 6945,3193]/[LCM of 138,2268]= 1/52164
Therefore, the GCF of 6945/138,3193/2268 is 1/52164.
To find the highest common factor of 6945,3193, we have to find the factors of both numbers and list the highest common factor.
The factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945
The factors of 3193 are 1, 31, 103, 3193
The HCF of 6945,3193 is 1.
Lets's calculate GCF of 6945,3193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6945,3193 By Matching Biggest Common Factor Method
Now, list down the factors of 6945
:1,3,5,15,463,1389,2315,6945
Now, list down the factors of 3193
:1,31,103,3193
Greatest Common Factor
We found the factors 6945,3193 . The biggest common factor number is the GCF number.
So the greatest common factor 6945,3193 is 1.
Lets's calculate LCM of 138,2268
| 2 | 138, 2268 |
| 3 | 69, 1134 |
| 23, 378 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 378 = 52164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52164
Therefore, the GCF of Fractions 6945/138,3193/2268 is 1/52164
Least Common Multiple of 138,2268 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 138,2268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,2268) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(138,2268) x common factors =6 x 1 = 6
LCM(138,2268) = ( 138 × 2268 ) / 6
LCM(138,2268) = 312984 / 6
LCM(138,2268) = 52164
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FAQs on GCF of Fractions of 6945/138, 3193/2268
1. What is the HCF of 6945,3193?
The HCF of 6945,3193 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 6945/138, 3193/2268?
Answer: GCF of Numerators as per given numbers 6945/138, 3193/2268 is
GCF of Numerators i.e. for 6945,3193 is 1
LCM of denominators i.e. for 138,2268 is 52164.
Thus, GCF of Fractions is 1/52164.Finally, GCF of Fractions for 6945/138, 3193/2268 is 1/52164.