GCF of 2335/575, 7600/1815
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2335/575, 7600/1815 i.e 5/208725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2335/575, 7600/1815.
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 2335/575,7600/1815?
Given fractions are 2335/575,7600/1815
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 2335/575,7600/1815, numerators are 2335,7600
Denominators are 575,1815
The GCF of 2335,7600 is 5 .
LCM of 575,1815 is 208725.
The greatest common factor of 2335/575,7600/1815 = [GCF of 2335,7600]/[LCM of 575,1815]= 5/208725
Therefore, the GCF of 2335/575,7600/1815 is 5/208725.
To find the highest common factor of 2335,7600, we have to find the factors of both numbers and list the highest common factor.
The factors of 2335 are 1, 5, 467, 2335
The factors of 7600 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 152, 190, 200, 304, 380, 400, 475, 760, 950, 1520, 1900, 3800, 7600
The HCF of 2335,7600 is 5.
Lets's calculate GCF of 2335,7600
| 5 | 2335, 7600 |
| 467, 1520 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2335,7600 By Matching Biggest Common Factor Method
Now, list down the factors of 2335
:1,5,467,2335
Now, list down the factors of 7600
:1,2,4,5,8,10,16,19,20,25,38,40,50,76,80,95,100,152,190,200,304,380,400,475,760,950,1520,1900,3800,7600
Greatest Common Factor
We found the factors 2335,7600 . The biggest common factor number is the GCF number.
So the greatest common factor 2335,7600 is 5.
Lets's calculate LCM of 575,1815
| 5 | 575, 1815 |
| 115, 363 |
∴ So the LCM of the given numbers is 5 x 115 x 363 = 208725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/208725
Therefore, the GCF of Fractions 2335/575,7600/1815 is 5/208725
Least Common Multiple of 575,1815 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 575,1815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,1815) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(575,1815) x common factors =5 x 1 = 5
LCM(575,1815) = ( 575 × 1815 ) / 5
LCM(575,1815) = 1043625 / 5
LCM(575,1815) = 208725
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FAQs on GCF of Fractions of 2335/575, 7600/1815
1. What is the HCF of 2335,7600?
The HCF of 2335,7600 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 2335/575, 7600/1815?
Answer: GCF of Numerators as per given numbers 2335/575, 7600/1815 is
GCF of Numerators i.e. for 2335,7600 is 5
LCM of denominators i.e. for 575,1815 is 208725.
Thus, GCF of Fractions is 5/208725.Finally, GCF of Fractions for 2335/575, 7600/1815 is 5/208725.