GCF of 4565/416, 6513/2816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4565/416, 6513/2816 i.e 1/36608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4565/416, 6513/2816.
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 4565/416,6513/2816?
Given fractions are 4565/416,6513/2816
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 4565/416,6513/2816, numerators are 4565,6513
Denominators are 416,2816
The GCF of 4565,6513 is 1 .
LCM of 416,2816 is 36608.
The greatest common factor of 4565/416,6513/2816 = [GCF of 4565,6513]/[LCM of 416,2816]= 1/36608
Therefore, the GCF of 4565/416,6513/2816 is 1/36608.
To find the highest common factor of 4565,6513, we have to find the factors of both numbers and list the highest common factor.
The factors of 4565 are 1, 5, 11, 55, 83, 415, 913, 4565
The factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513
The HCF of 4565,6513 is 1.
Lets's calculate GCF of 4565,6513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4565,6513 By Matching Biggest Common Factor Method
Now, list down the factors of 4565
:1,5,11,55,83,415,913,4565
Now, list down the factors of 6513
:1,3,13,39,167,501,2171,6513
Greatest Common Factor
We found the factors 4565,6513 . The biggest common factor number is the GCF number.
So the greatest common factor 4565,6513 is 1.
Lets's calculate LCM of 416,2816
| 2 | 416, 2816 |
| 2 | 208, 1408 |
| 2 | 104, 704 |
| 2 | 52, 352 |
| 2 | 26, 176 |
| 13, 88 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 x 88 = 36608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36608
Therefore, the GCF of Fractions 4565/416,6513/2816 is 1/36608
Least Common Multiple of 416,2816 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 416,2816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,2816) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(416,2816) x common factors =32 x 1 = 32
LCM(416,2816) = ( 416 × 2816 ) / 32
LCM(416,2816) = 1171456 / 32
LCM(416,2816) = 36608
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FAQs on GCF of Fractions of 4565/416, 6513/2816
1. What is the HCF of 4565,6513?
The HCF of 4565,6513 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 4565/416, 6513/2816?
Answer: GCF of Numerators as per given numbers 4565/416, 6513/2816 is
GCF of Numerators i.e. for 4565,6513 is 1
LCM of denominators i.e. for 416,2816 is 36608.
Thus, GCF of Fractions is 1/36608.Finally, GCF of Fractions for 4565/416, 6513/2816 is 1/36608.