GCF of 5315/414, 2165/3672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5315/414, 2165/3672 i.e 5/84456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5315/414, 2165/3672.
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 5315/414,2165/3672?
Given fractions are 5315/414,2165/3672
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 5315/414,2165/3672, numerators are 5315,2165
Denominators are 414,3672
The GCF of 5315,2165 is 5 .
LCM of 414,3672 is 84456.
The greatest common factor of 5315/414,2165/3672 = [GCF of 5315,2165]/[LCM of 414,3672]= 5/84456
Therefore, the GCF of 5315/414,2165/3672 is 5/84456.
To find the highest common factor of 5315,2165, we have to find the factors of both numbers and list the highest common factor.
The factors of 5315 are 1, 5, 1063, 5315
The factors of 2165 are 1, 5, 433, 2165
The HCF of 5315,2165 is 5.
Lets's calculate GCF of 5315,2165
| 5 | 5315, 2165 |
| 1063, 433 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5315,2165 By Matching Biggest Common Factor Method
Now, list down the factors of 5315
:1,5,1063,5315
Now, list down the factors of 2165
:1,5,433,2165
Greatest Common Factor
We found the factors 5315,2165 . The biggest common factor number is the GCF number.
So the greatest common factor 5315,2165 is 5.
Lets's calculate LCM of 414,3672
| 2 | 414, 3672 |
| 3 | 207, 1836 |
| 3 | 69, 612 |
| 23, 204 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 204 = 84456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/84456
Therefore, the GCF of Fractions 5315/414,2165/3672 is 5/84456
Least Common Multiple of 414,3672 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 414,3672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,3672) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(414,3672) x common factors =18 x 1 = 18
LCM(414,3672) = ( 414 × 3672 ) / 18
LCM(414,3672) = 1520208 / 18
LCM(414,3672) = 84456
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FAQs on GCF of Fractions of 5315/414, 2165/3672
1. What is the HCF of 5315,2165?
The HCF of 5315,2165 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 5315/414, 2165/3672?
Answer: GCF of Numerators as per given numbers 5315/414, 2165/3672 is
GCF of Numerators i.e. for 5315,2165 is 5
LCM of denominators i.e. for 414,3672 is 84456.
Thus, GCF of Fractions is 5/84456.Finally, GCF of Fractions for 5315/414, 2165/3672 is 5/84456.