GCF of 8065/520, 4165/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8065/520, 4165/914 i.e 5/237640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8065/520, 4165/914.
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 8065/520,4165/914?
Given fractions are 8065/520,4165/914
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 8065/520,4165/914, numerators are 8065,4165
Denominators are 520,914
The GCF of 8065,4165 is 5 .
LCM of 520,914 is 237640.
The greatest common factor of 8065/520,4165/914 = [GCF of 8065,4165]/[LCM of 520,914]= 5/237640
Therefore, the GCF of 8065/520,4165/914 is 5/237640.
To find the highest common factor of 8065,4165, we have to find the factors of both numbers and list the highest common factor.
The factors of 8065 are 1, 5, 1613, 8065
The factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165
The HCF of 8065,4165 is 5.
Lets's calculate GCF of 8065,4165
| 5 | 8065, 4165 |
| 1613, 833 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8065,4165 By Matching Biggest Common Factor Method
Now, list down the factors of 8065
:1,5,1613,8065
Now, list down the factors of 4165
:1,5,7,17,35,49,85,119,245,595,833,4165
Greatest Common Factor
We found the factors 8065,4165 . The biggest common factor number is the GCF number.
So the greatest common factor 8065,4165 is 5.
Lets's calculate LCM of 520,914
| 2 | 520, 914 |
| 260, 457 |
∴ So the LCM of the given numbers is 2 x 260 x 457 = 237640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/237640
Therefore, the GCF of Fractions 8065/520,4165/914 is 5/237640
Least Common Multiple of 520,914 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 520,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(520,914) x common factors =2 x 1 = 2
LCM(520,914) = ( 520 × 914 ) / 2
LCM(520,914) = 475280 / 2
LCM(520,914) = 237640
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FAQs on GCF of Fractions of 8065/520, 4165/914
1. What is the HCF of 8065,4165?
The HCF of 8065,4165 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 8065/520, 4165/914?
Answer: GCF of Numerators as per given numbers 8065/520, 4165/914 is
GCF of Numerators i.e. for 8065,4165 is 5
LCM of denominators i.e. for 520,914 is 237640.
Thus, GCF of Fractions is 5/237640.Finally, GCF of Fractions for 8065/520, 4165/914 is 5/237640.