GCF of 4610/230, 7314/8729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4610/230, 7314/8729 i.e 2/2007670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4610/230, 7314/8729.
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 4610/230,7314/8729?
Given fractions are 4610/230,7314/8729
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 4610/230,7314/8729, numerators are 4610,7314
Denominators are 230,8729
The GCF of 4610,7314 is 2 .
LCM of 230,8729 is 2007670.
The greatest common factor of 4610/230,7314/8729 = [GCF of 4610,7314]/[LCM of 230,8729]= 2/2007670
Therefore, the GCF of 4610/230,7314/8729 is 2/2007670.
To find the highest common factor of 4610,7314, we have to find the factors of both numbers and list the highest common factor.
The factors of 4610 are 1, 2, 5, 10, 461, 922, 2305, 4610
The factors of 7314 are 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314
The HCF of 4610,7314 is 2.
Lets's calculate GCF of 4610,7314
| 2 | 4610, 7314 |
| 2305, 3657 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4610,7314 By Matching Biggest Common Factor Method
Now, list down the factors of 4610
:1,2,5,10,461,922,2305,4610
Now, list down the factors of 7314
:1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314
Greatest Common Factor
We found the factors 4610,7314 . The biggest common factor number is the GCF number.
So the greatest common factor 4610,7314 is 2.
Lets's calculate LCM of 230,8729
Given numbers has no common factors except 1. So, there LCM is their product i.e 2007670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2007670
Therefore, the GCF of Fractions 4610/230,7314/8729 is 2/2007670
Least Common Multiple of 230,8729 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 230,8729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,8729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,8729) x common factors =1 x 1 = 1
LCM(230,8729) = ( 230 × 8729 ) / 1
LCM(230,8729) = 2007670 / 1
LCM(230,8729) = 2007670
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FAQs on GCF of Fractions of 4610/230, 7314/8729
1. What is the HCF of 4610,7314?
The HCF of 4610,7314 is 2
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 4610/230, 7314/8729?
Answer: GCF of Numerators as per given numbers 4610/230, 7314/8729 is
GCF of Numerators i.e. for 4610,7314 is 2
LCM of denominators i.e. for 230,8729 is 2007670.
Thus, GCF of Fractions is 2/2007670.Finally, GCF of Fractions for 4610/230, 7314/8729 is 2/2007670.