GCF of 4471/338, 9432/227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4471/338, 9432/227 i.e 1/76726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4471/338, 9432/227.
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 4471/338,9432/227?
Given fractions are 4471/338,9432/227
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 4471/338,9432/227, numerators are 4471,9432
Denominators are 338,227
The GCF of 4471,9432 is 1 .
LCM of 338,227 is 76726.
The greatest common factor of 4471/338,9432/227 = [GCF of 4471,9432]/[LCM of 338,227]= 1/76726
Therefore, the GCF of 4471/338,9432/227 is 1/76726.
To find the highest common factor of 4471,9432, we have to find the factors of both numbers and list the highest common factor.
The factors of 4471 are 1, 17, 263, 4471
The factors of 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432
The HCF of 4471,9432 is 1.
Lets's calculate GCF of 4471,9432
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4471,9432 By Matching Biggest Common Factor Method
Now, list down the factors of 4471
:1,17,263,4471
Now, list down the factors of 9432
:1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432
Greatest Common Factor
We found the factors 4471,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 4471,9432 is 1.
Lets's calculate LCM of 338,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 76726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76726
Therefore, the GCF of Fractions 4471/338,9432/227 is 1/76726
Least Common Multiple of 338,227 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 338,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,227) x common factors =1 x 1 = 1
LCM(338,227) = ( 338 × 227 ) / 1
LCM(338,227) = 76726 / 1
LCM(338,227) = 76726
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FAQs on GCF of Fractions of 4471/338, 9432/227
1. What is the HCF of 4471,9432?
The HCF of 4471,9432 is 1
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 4471/338, 9432/227?
Answer: GCF of Numerators as per given numbers 4471/338, 9432/227 is
GCF of Numerators i.e. for 4471,9432 is 1
LCM of denominators i.e. for 338,227 is 76726.
Thus, GCF of Fractions is 1/76726.Finally, GCF of Fractions for 4471/338, 9432/227 is 1/76726.