GCF of 9165/230, 7687/8340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9165/230, 7687/8340 i.e 1/191820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9165/230, 7687/8340.
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 9165/230,7687/8340?
Given fractions are 9165/230,7687/8340
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 9165/230,7687/8340, numerators are 9165,7687
Denominators are 230,8340
The GCF of 9165,7687 is 1 .
LCM of 230,8340 is 191820.
The greatest common factor of 9165/230,7687/8340 = [GCF of 9165,7687]/[LCM of 230,8340]= 1/191820
Therefore, the GCF of 9165/230,7687/8340 is 1/191820.
To find the highest common factor of 9165,7687, we have to find the factors of both numbers and list the highest common factor.
The factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165
The factors of 7687 are 1, 7687
The HCF of 9165,7687 is 1.
Lets's calculate GCF of 9165,7687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9165,7687 By Matching Biggest Common Factor Method
Now, list down the factors of 9165
:1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Now, list down the factors of 7687
:1,7687
Greatest Common Factor
We found the factors 9165,7687 . The biggest common factor number is the GCF number.
So the greatest common factor 9165,7687 is 1.
Lets's calculate LCM of 230,8340
| 2 | 230, 8340 |
| 5 | 115, 4170 |
| 23, 834 |
∴ So the LCM of the given numbers is 2 x 5 x 23 x 834 = 191820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191820
Therefore, the GCF of Fractions 9165/230,7687/8340 is 1/191820
Least Common Multiple of 230,8340 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 230,8340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,8340) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(230,8340) x common factors =10 x 1 = 10
LCM(230,8340) = ( 230 × 8340 ) / 10
LCM(230,8340) = 1918200 / 10
LCM(230,8340) = 191820
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FAQs on GCF of Fractions of 9165/230, 7687/8340
1. What is the HCF of 9165,7687?
The HCF of 9165,7687 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 9165/230, 7687/8340?
Answer: GCF of Numerators as per given numbers 9165/230, 7687/8340 is
GCF of Numerators i.e. for 9165,7687 is 1
LCM of denominators i.e. for 230,8340 is 191820.
Thus, GCF of Fractions is 1/191820.Finally, GCF of Fractions for 9165/230, 7687/8340 is 1/191820.