GCF of 2330/320, 1905/2854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2330/320, 1905/2854 i.e 5/456640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2330/320, 1905/2854.
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 2330/320,1905/2854?
Given fractions are 2330/320,1905/2854
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 2330/320,1905/2854, numerators are 2330,1905
Denominators are 320,2854
The GCF of 2330,1905 is 5 .
LCM of 320,2854 is 456640.
The greatest common factor of 2330/320,1905/2854 = [GCF of 2330,1905]/[LCM of 320,2854]= 5/456640
Therefore, the GCF of 2330/320,1905/2854 is 5/456640.
To find the highest common factor of 2330,1905, we have to find the factors of both numbers and list the highest common factor.
The factors of 2330 are 1, 2, 5, 10, 233, 466, 1165, 2330
The factors of 1905 are 1, 3, 5, 15, 127, 381, 635, 1905
The HCF of 2330,1905 is 5.
Lets's calculate GCF of 2330,1905
| 5 | 2330, 1905 |
| 466, 381 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2330,1905 By Matching Biggest Common Factor Method
Now, list down the factors of 2330
:1,2,5,10,233,466,1165,2330
Now, list down the factors of 1905
:1,3,5,15,127,381,635,1905
Greatest Common Factor
We found the factors 2330,1905 . The biggest common factor number is the GCF number.
So the greatest common factor 2330,1905 is 5.
Lets's calculate LCM of 320,2854
| 2 | 320, 2854 |
| 160, 1427 |
∴ So the LCM of the given numbers is 2 x 160 x 1427 = 456640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/456640
Therefore, the GCF of Fractions 2330/320,1905/2854 is 5/456640
Least Common Multiple of 320,2854 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 320,2854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,2854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,2854) x common factors =2 x 1 = 2
LCM(320,2854) = ( 320 × 2854 ) / 2
LCM(320,2854) = 913280 / 2
LCM(320,2854) = 456640
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FAQs on GCF of Fractions of 2330/320, 1905/2854
1. What is the HCF of 2330,1905?
The HCF of 2330,1905 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 2330/320, 1905/2854?
Answer: GCF of Numerators as per given numbers 2330/320, 1905/2854 is
GCF of Numerators i.e. for 2330,1905 is 5
LCM of denominators i.e. for 320,2854 is 456640.
Thus, GCF of Fractions is 5/456640.Finally, GCF of Fractions for 2330/320, 1905/2854 is 5/456640.