GCF of 4765/514, 9905/1310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4765/514, 9905/1310 i.e 5/336670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4765/514, 9905/1310.
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 4765/514,9905/1310?
Given fractions are 4765/514,9905/1310
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 4765/514,9905/1310, numerators are 4765,9905
Denominators are 514,1310
The GCF of 4765,9905 is 5 .
LCM of 514,1310 is 336670.
The greatest common factor of 4765/514,9905/1310 = [GCF of 4765,9905]/[LCM of 514,1310]= 5/336670
Therefore, the GCF of 4765/514,9905/1310 is 5/336670.
To find the highest common factor of 4765,9905, we have to find the factors of both numbers and list the highest common factor.
The factors of 4765 are 1, 5, 953, 4765
The factors of 9905 are 1, 5, 7, 35, 283, 1415, 1981, 9905
The HCF of 4765,9905 is 5.
Lets's calculate GCF of 4765,9905
| 5 | 4765, 9905 |
| 953, 1981 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4765,9905 By Matching Biggest Common Factor Method
Now, list down the factors of 4765
:1,5,953,4765
Now, list down the factors of 9905
:1,5,7,35,283,1415,1981,9905
Greatest Common Factor
We found the factors 4765,9905 . The biggest common factor number is the GCF number.
So the greatest common factor 4765,9905 is 5.
Lets's calculate LCM of 514,1310
| 2 | 514, 1310 |
| 257, 655 |
∴ So the LCM of the given numbers is 2 x 257 x 655 = 336670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/336670
Therefore, the GCF of Fractions 4765/514,9905/1310 is 5/336670
Least Common Multiple of 514,1310 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 514,1310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,1310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,1310) x common factors =2 x 1 = 2
LCM(514,1310) = ( 514 × 1310 ) / 2
LCM(514,1310) = 673340 / 2
LCM(514,1310) = 336670
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FAQs on GCF of Fractions of 4765/514, 9905/1310
1. What is the HCF of 4765,9905?
The HCF of 4765,9905 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 4765/514, 9905/1310?
Answer: GCF of Numerators as per given numbers 4765/514, 9905/1310 is
GCF of Numerators i.e. for 4765,9905 is 5
LCM of denominators i.e. for 514,1310 is 336670.
Thus, GCF of Fractions is 5/336670.Finally, GCF of Fractions for 4765/514, 9905/1310 is 5/336670.