GCF of 8085/342, 7908/2249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8085/342, 7908/2249 i.e 3/769158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8085/342, 7908/2249.
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 8085/342,7908/2249?
Given fractions are 8085/342,7908/2249
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 8085/342,7908/2249, numerators are 8085,7908
Denominators are 342,2249
The GCF of 8085,7908 is 3 .
LCM of 342,2249 is 769158.
The greatest common factor of 8085/342,7908/2249 = [GCF of 8085,7908]/[LCM of 342,2249]= 3/769158
Therefore, the GCF of 8085/342,7908/2249 is 3/769158.
To find the highest common factor of 8085,7908, we have to find the factors of both numbers and list the highest common factor.
The factors of 8085 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085
The factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908
The HCF of 8085,7908 is 3.
Lets's calculate GCF of 8085,7908
| 3 | 8085, 7908 |
| 2695, 2636 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8085,7908 By Matching Biggest Common Factor Method
Now, list down the factors of 8085
:1,3,5,7,11,15,21,33,35,49,55,77,105,147,165,231,245,385,539,735,1155,1617,2695,8085
Now, list down the factors of 7908
:1,2,3,4,6,12,659,1318,1977,2636,3954,7908
Greatest Common Factor
We found the factors 8085,7908 . The biggest common factor number is the GCF number.
So the greatest common factor 8085,7908 is 3.
Lets's calculate LCM of 342,2249
Given numbers has no common factors except 1. So, there LCM is their product i.e 769158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/769158
Therefore, the GCF of Fractions 8085/342,7908/2249 is 3/769158
Least Common Multiple of 342,2249 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 342,2249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,2249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,2249) x common factors =1 x 1 = 1
LCM(342,2249) = ( 342 × 2249 ) / 1
LCM(342,2249) = 769158 / 1
LCM(342,2249) = 769158
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FAQs on GCF of Fractions of 8085/342, 7908/2249
1. What is the HCF of 8085,7908?
The HCF of 8085,7908 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 8085/342, 7908/2249?
Answer: GCF of Numerators as per given numbers 8085/342, 7908/2249 is
GCF of Numerators i.e. for 8085,7908 is 3
LCM of denominators i.e. for 342,2249 is 769158.
Thus, GCF of Fractions is 3/769158.Finally, GCF of Fractions for 8085/342, 7908/2249 is 3/769158.