GCF of 3608/518, 7311/4564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3608/518, 7311/4564 i.e 1/168868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3608/518, 7311/4564.
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 3608/518,7311/4564?
Given fractions are 3608/518,7311/4564
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 3608/518,7311/4564, numerators are 3608,7311
Denominators are 518,4564
The GCF of 3608,7311 is 1 .
LCM of 518,4564 is 168868.
The greatest common factor of 3608/518,7311/4564 = [GCF of 3608,7311]/[LCM of 518,4564]= 1/168868
Therefore, the GCF of 3608/518,7311/4564 is 1/168868.
To find the highest common factor of 3608,7311, we have to find the factors of both numbers and list the highest common factor.
The factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608
The factors of 7311 are 1, 3, 2437, 7311
The HCF of 3608,7311 is 1.
Lets's calculate GCF of 3608,7311
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3608,7311 By Matching Biggest Common Factor Method
Now, list down the factors of 3608
:1,2,4,8,11,22,41,44,82,88,164,328,451,902,1804,3608
Now, list down the factors of 7311
:1,3,2437,7311
Greatest Common Factor
We found the factors 3608,7311 . The biggest common factor number is the GCF number.
So the greatest common factor 3608,7311 is 1.
Lets's calculate LCM of 518,4564
| 2 | 518, 4564 |
| 7 | 259, 2282 |
| 37, 326 |
∴ So the LCM of the given numbers is 2 x 7 x 37 x 326 = 168868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168868
Therefore, the GCF of Fractions 3608/518,7311/4564 is 1/168868
Least Common Multiple of 518,4564 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 518,4564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,4564) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(518,4564) x common factors =14 x 1 = 14
LCM(518,4564) = ( 518 × 4564 ) / 14
LCM(518,4564) = 2364152 / 14
LCM(518,4564) = 168868
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FAQs on GCF of Fractions of 3608/518, 7311/4564
1. What is the HCF of 3608,7311?
The HCF of 3608,7311 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 3608/518, 7311/4564?
Answer: GCF of Numerators as per given numbers 3608/518, 7311/4564 is
GCF of Numerators i.e. for 3608,7311 is 1
LCM of denominators i.e. for 518,4564 is 168868.
Thus, GCF of Fractions is 1/168868.Finally, GCF of Fractions for 3608/518, 7311/4564 is 1/168868.