GCF of 7815/861, 6945/208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7815/861, 6945/208 i.e 15/179088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7815/861, 6945/208.
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 7815/861,6945/208?
Given fractions are 7815/861,6945/208
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 7815/861,6945/208, numerators are 7815,6945
Denominators are 861,208
The GCF of 7815,6945 is 15 .
LCM of 861,208 is 179088.
The greatest common factor of 7815/861,6945/208 = [GCF of 7815,6945]/[LCM of 861,208]= 15/179088
Therefore, the GCF of 7815/861,6945/208 is 15/179088.
To find the highest common factor of 7815,6945, we have to find the factors of both numbers and list the highest common factor.
The factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815
The factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945
The HCF of 7815,6945 is 15.
Lets's calculate GCF of 7815,6945
| 3 | 7815, 6945 |
| 5 | 2605, 2315 |
| 521, 463 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7815,6945 By Matching Biggest Common Factor Method
Now, list down the factors of 7815
:1,3,5,15,521,1563,2605,7815
Now, list down the factors of 6945
:1,3,5,15,463,1389,2315,6945
Greatest Common Factor
We found the factors 7815,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 7815,6945 is 15.
Lets's calculate LCM of 861,208
Given numbers has no common factors except 1. So, there LCM is their product i.e 179088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/179088
Therefore, the GCF of Fractions 7815/861,6945/208 is 15/179088
Least Common Multiple of 861,208 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 861,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,208) x common factors =1 x 1 = 1
LCM(861,208) = ( 861 × 208 ) / 1
LCM(861,208) = 179088 / 1
LCM(861,208) = 179088
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FAQs on GCF of Fractions of 7815/861, 6945/208
1. What is the HCF of 7815,6945?
The HCF of 7815,6945 is 15
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 7815/861, 6945/208?
Answer: GCF of Numerators as per given numbers 7815/861, 6945/208 is
GCF of Numerators i.e. for 7815,6945 is 15
LCM of denominators i.e. for 861,208 is 179088.
Thus, GCF of Fractions is 15/179088.Finally, GCF of Fractions for 7815/861, 6945/208 is 15/179088.