GCF of 8507/330, 6345/1165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8507/330, 6345/1165 i.e 47/76890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8507/330, 6345/1165.
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 8507/330,6345/1165?
Given fractions are 8507/330,6345/1165
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 8507/330,6345/1165, numerators are 8507,6345
Denominators are 330,1165
The GCF of 8507,6345 is 47 .
LCM of 330,1165 is 76890.
The greatest common factor of 8507/330,6345/1165 = [GCF of 8507,6345]/[LCM of 330,1165]= 47/76890
Therefore, the GCF of 8507/330,6345/1165 is 47/76890.
To find the highest common factor of 8507,6345, we have to find the factors of both numbers and list the highest common factor.
The factors of 8507 are 1, 47, 181, 8507
The factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345
The HCF of 8507,6345 is 47.
Lets's calculate GCF of 8507,6345
| 47 | 8507, 6345 |
| 181, 135 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 8507,6345 By Matching Biggest Common Factor Method
Now, list down the factors of 8507
:1,47,181,8507
Now, list down the factors of 6345
:1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345
Greatest Common Factor
We found the factors 8507,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 8507,6345 is 47.
Lets's calculate LCM of 330,1165
| 5 | 330, 1165 |
| 66, 233 |
∴ So the LCM of the given numbers is 5 x 66 x 233 = 76890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/76890
Therefore, the GCF of Fractions 8507/330,6345/1165 is 47/76890
Least Common Multiple of 330,1165 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 330,1165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,1165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(330,1165) x common factors =5 x 1 = 5
LCM(330,1165) = ( 330 × 1165 ) / 5
LCM(330,1165) = 384450 / 5
LCM(330,1165) = 76890
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FAQs on GCF of Fractions of 8507/330, 6345/1165
1. What is the HCF of 8507,6345?
The HCF of 8507,6345 is 47
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 8507/330, 6345/1165?
Answer: GCF of Numerators as per given numbers 8507/330, 6345/1165 is
GCF of Numerators i.e. for 8507,6345 is 47
LCM of denominators i.e. for 330,1165 is 76890.
Thus, GCF of Fractions is 47/76890.Finally, GCF of Fractions for 8507/330, 6345/1165 is 47/76890.