GCF of 6515/288, 9312/4624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6515/288, 9312/4624 i.e 1/83232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6515/288, 9312/4624.
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 6515/288,9312/4624?
Given fractions are 6515/288,9312/4624
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 6515/288,9312/4624, numerators are 6515,9312
Denominators are 288,4624
The GCF of 6515,9312 is 1 .
LCM of 288,4624 is 83232.
The greatest common factor of 6515/288,9312/4624 = [GCF of 6515,9312]/[LCM of 288,4624]= 1/83232
Therefore, the GCF of 6515/288,9312/4624 is 1/83232.
To find the highest common factor of 6515,9312, we have to find the factors of both numbers and list the highest common factor.
The factors of 6515 are 1, 5, 1303, 6515
The factors of 9312 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312
The HCF of 6515,9312 is 1.
Lets's calculate GCF of 6515,9312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6515,9312 By Matching Biggest Common Factor Method
Now, list down the factors of 6515
:1,5,1303,6515
Now, list down the factors of 9312
:1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312
Greatest Common Factor
We found the factors 6515,9312 . The biggest common factor number is the GCF number.
So the greatest common factor 6515,9312 is 1.
Lets's calculate LCM of 288,4624
| 2 | 288, 4624 |
| 2 | 144, 2312 |
| 2 | 72, 1156 |
| 2 | 36, 578 |
| 18, 289 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 18 x 289 = 83232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83232
Therefore, the GCF of Fractions 6515/288,9312/4624 is 1/83232
Least Common Multiple of 288,4624 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 288,4624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,4624) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(288,4624) x common factors =16 x 1 = 16
LCM(288,4624) = ( 288 × 4624 ) / 16
LCM(288,4624) = 1331712 / 16
LCM(288,4624) = 83232
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FAQs on GCF of Fractions of 6515/288, 9312/4624
1. What is the HCF of 6515,9312?
The HCF of 6515,9312 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 6515/288, 9312/4624?
Answer: GCF of Numerators as per given numbers 6515/288, 9312/4624 is
GCF of Numerators i.e. for 6515,9312 is 1
LCM of denominators i.e. for 288,4624 is 83232.
Thus, GCF of Fractions is 1/83232.Finally, GCF of Fractions for 6515/288, 9312/4624 is 1/83232.