GCF of 415/227, 3818/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 415/227, 3818/758 i.e 83/172066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 415/227, 3818/758.
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 415/227,3818/758?
Given fractions are 415/227,3818/758
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 415/227,3818/758, numerators are 415,3818
Denominators are 227,758
The GCF of 415,3818 is 83 .
LCM of 227,758 is 172066.
The greatest common factor of 415/227,3818/758 = [GCF of 415,3818]/[LCM of 227,758]= 83/172066
Therefore, the GCF of 415/227,3818/758 is 83/172066.
To find the highest common factor of 415,3818, we have to find the factors of both numbers and list the highest common factor.
The factors of 415 are 1, 5, 83, 415
The factors of 3818 are 1, 2, 23, 46, 83, 166, 1909, 3818
The HCF of 415,3818 is 83.
Lets's calculate GCF of 415,3818
| 83 | 415, 3818 |
| 5, 46 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 415,3818 By Matching Biggest Common Factor Method
Now, list down the factors of 415
:1,5,83,415
Now, list down the factors of 3818
:1,2,23,46,83,166,1909,3818
Greatest Common Factor
We found the factors 415,3818 . The biggest common factor number is the GCF number.
So the greatest common factor 415,3818 is 83.
Lets's calculate LCM of 227,758
Given numbers has no common factors except 1. So, there LCM is their product i.e 172066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/172066
Therefore, the GCF of Fractions 415/227,3818/758 is 83/172066
Least Common Multiple of 227,758 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 227,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,758) x common factors =1 x 1 = 1
LCM(227,758) = ( 227 × 758 ) / 1
LCM(227,758) = 172066 / 1
LCM(227,758) = 172066
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FAQs on GCF of Fractions of 415/227, 3818/758
1. What is the HCF of 415,3818?
The HCF of 415,3818 is 83
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 415/227, 3818/758?
Answer: GCF of Numerators as per given numbers 415/227, 3818/758 is
GCF of Numerators i.e. for 415,3818 is 83
LCM of denominators i.e. for 227,758 is 172066.
Thus, GCF of Fractions is 83/172066.Finally, GCF of Fractions for 415/227, 3818/758 is 83/172066.