GCF of 1313/296, 2287/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1313/296, 2287/405 i.e 1/119880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1313/296, 2287/405.
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 1313/296,2287/405?
Given fractions are 1313/296,2287/405
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 1313/296,2287/405, numerators are 1313,2287
Denominators are 296,405
The GCF of 1313,2287 is 1 .
LCM of 296,405 is 119880.
The greatest common factor of 1313/296,2287/405 = [GCF of 1313,2287]/[LCM of 296,405]= 1/119880
Therefore, the GCF of 1313/296,2287/405 is 1/119880.
To find the highest common factor of 1313,2287, we have to find the factors of both numbers and list the highest common factor.
The factors of 1313 are 1, 13, 101, 1313
The factors of 2287 are 1, 2287
The HCF of 1313,2287 is 1.
Lets's calculate GCF of 1313,2287
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1313,2287 By Matching Biggest Common Factor Method
Now, list down the factors of 1313
:1,13,101,1313
Now, list down the factors of 2287
:1,2287
Greatest Common Factor
We found the factors 1313,2287 . The biggest common factor number is the GCF number.
So the greatest common factor 1313,2287 is 1.
Lets's calculate LCM of 296,405
Given numbers has no common factors except 1. So, there LCM is their product i.e 119880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119880
Therefore, the GCF of Fractions 1313/296,2287/405 is 1/119880
Least Common Multiple of 296,405 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 296,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,405) x common factors =1 x 1 = 1
LCM(296,405) = ( 296 × 405 ) / 1
LCM(296,405) = 119880 / 1
LCM(296,405) = 119880
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FAQs on GCF of Fractions of 1313/296, 2287/405
1. What is the HCF of 1313,2287?
The HCF of 1313,2287 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 1313/296, 2287/405?
Answer: GCF of Numerators as per given numbers 1313/296, 2287/405 is
GCF of Numerators i.e. for 1313,2287 is 1
LCM of denominators i.e. for 296,405 is 119880.
Thus, GCF of Fractions is 1/119880.Finally, GCF of Fractions for 1313/296, 2287/405 is 1/119880.