GCF of 4115/114, 2263/323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4115/114, 2263/323 i.e 1/1938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4115/114, 2263/323.
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 4115/114,2263/323?
Given fractions are 4115/114,2263/323
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 4115/114,2263/323, numerators are 4115,2263
Denominators are 114,323
The GCF of 4115,2263 is 1 .
LCM of 114,323 is 1938.
The greatest common factor of 4115/114,2263/323 = [GCF of 4115,2263]/[LCM of 114,323]= 1/1938
Therefore, the GCF of 4115/114,2263/323 is 1/1938.
To find the highest common factor of 4115,2263, we have to find the factors of both numbers and list the highest common factor.
The factors of 4115 are 1, 5, 823, 4115
The factors of 2263 are 1, 31, 73, 2263
The HCF of 4115,2263 is 1.
Lets's calculate GCF of 4115,2263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4115,2263 By Matching Biggest Common Factor Method
Now, list down the factors of 4115
:1,5,823,4115
Now, list down the factors of 2263
:1,31,73,2263
Greatest Common Factor
We found the factors 4115,2263 . The biggest common factor number is the GCF number.
So the greatest common factor 4115,2263 is 1.
Lets's calculate LCM of 114,323
| 19 | 114, 323 |
| 6, 17 |
∴ So the LCM of the given numbers is 19 x 6 x 17 = 1938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1938
Therefore, the GCF of Fractions 4115/114,2263/323 is 1/1938
Least Common Multiple of 114,323 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 114,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,323) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(114,323) x common factors =19 x 1 = 19
LCM(114,323) = ( 114 × 323 ) / 19
LCM(114,323) = 36822 / 19
LCM(114,323) = 1938
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FAQs on GCF of Fractions of 4115/114, 2263/323
1. What is the HCF of 4115,2263?
The HCF of 4115,2263 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 4115/114, 2263/323?
Answer: GCF of Numerators as per given numbers 4115/114, 2263/323 is
GCF of Numerators i.e. for 4115,2263 is 1
LCM of denominators i.e. for 114,323 is 1938.
Thus, GCF of Fractions is 1/1938.Finally, GCF of Fractions for 4115/114, 2263/323 is 1/1938.