GCF of 4517/260, 7728/5213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4517/260, 7728/5213 i.e 1/104260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4517/260, 7728/5213.
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 4517/260,7728/5213?
Given fractions are 4517/260,7728/5213
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 4517/260,7728/5213, numerators are 4517,7728
Denominators are 260,5213
The GCF of 4517,7728 is 1 .
LCM of 260,5213 is 104260.
The greatest common factor of 4517/260,7728/5213 = [GCF of 4517,7728]/[LCM of 260,5213]= 1/104260
Therefore, the GCF of 4517/260,7728/5213 is 1/104260.
To find the highest common factor of 4517,7728, we have to find the factors of both numbers and list the highest common factor.
The factors of 4517 are 1, 4517
The factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728
The HCF of 4517,7728 is 1.
Lets's calculate GCF of 4517,7728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4517,7728 By Matching Biggest Common Factor Method
Now, list down the factors of 4517
:1,4517
Now, list down the factors of 7728
:1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728
Greatest Common Factor
We found the factors 4517,7728 . The biggest common factor number is the GCF number.
So the greatest common factor 4517,7728 is 1.
Lets's calculate LCM of 260,5213
| 13 | 260, 5213 |
| 20, 401 |
∴ So the LCM of the given numbers is 13 x 20 x 401 = 104260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104260
Therefore, the GCF of Fractions 4517/260,7728/5213 is 1/104260
Least Common Multiple of 260,5213 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 260,5213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,5213) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(260,5213) x common factors =13 x 1 = 13
LCM(260,5213) = ( 260 × 5213 ) / 13
LCM(260,5213) = 1355380 / 13
LCM(260,5213) = 104260
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FAQs on GCF of Fractions of 4517/260, 7728/5213
1. What is the HCF of 4517,7728?
The HCF of 4517,7728 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 4517/260, 7728/5213?
Answer: GCF of Numerators as per given numbers 4517/260, 7728/5213 is
GCF of Numerators i.e. for 4517,7728 is 1
LCM of denominators i.e. for 260,5213 is 104260.
Thus, GCF of Fractions is 1/104260.Finally, GCF of Fractions for 4517/260, 7728/5213 is 1/104260.