GCF of 9665/351, 8150/166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9665/351, 8150/166 i.e 5/58266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9665/351, 8150/166.
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 9665/351,8150/166?
Given fractions are 9665/351,8150/166
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 9665/351,8150/166, numerators are 9665,8150
Denominators are 351,166
The GCF of 9665,8150 is 5 .
LCM of 351,166 is 58266.
The greatest common factor of 9665/351,8150/166 = [GCF of 9665,8150]/[LCM of 351,166]= 5/58266
Therefore, the GCF of 9665/351,8150/166 is 5/58266.
To find the highest common factor of 9665,8150, we have to find the factors of both numbers and list the highest common factor.
The factors of 9665 are 1, 5, 1933, 9665
The factors of 8150 are 1, 2, 5, 10, 25, 50, 163, 326, 815, 1630, 4075, 8150
The HCF of 9665,8150 is 5.
Lets's calculate GCF of 9665,8150
| 5 | 9665, 8150 |
| 1933, 1630 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9665,8150 By Matching Biggest Common Factor Method
Now, list down the factors of 9665
:1,5,1933,9665
Now, list down the factors of 8150
:1,2,5,10,25,50,163,326,815,1630,4075,8150
Greatest Common Factor
We found the factors 9665,8150 . The biggest common factor number is the GCF number.
So the greatest common factor 9665,8150 is 5.
Lets's calculate LCM of 351,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 58266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/58266
Therefore, the GCF of Fractions 9665/351,8150/166 is 5/58266
Least Common Multiple of 351,166 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 351,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,166) x common factors =1 x 1 = 1
LCM(351,166) = ( 351 × 166 ) / 1
LCM(351,166) = 58266 / 1
LCM(351,166) = 58266
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FAQs on GCF of Fractions of 9665/351, 8150/166
1. What is the HCF of 9665,8150?
The HCF of 9665,8150 is 5
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 9665/351, 8150/166?
Answer: GCF of Numerators as per given numbers 9665/351, 8150/166 is
GCF of Numerators i.e. for 9665,8150 is 5
LCM of denominators i.e. for 351,166 is 58266.
Thus, GCF of Fractions is 5/58266.Finally, GCF of Fractions for 9665/351, 8150/166 is 5/58266.