GCF of 6115/304, 8612/592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6115/304, 8612/592 i.e 1/11248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6115/304, 8612/592.
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 6115/304,8612/592?
Given fractions are 6115/304,8612/592
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 6115/304,8612/592, numerators are 6115,8612
Denominators are 304,592
The GCF of 6115,8612 is 1 .
LCM of 304,592 is 11248.
The greatest common factor of 6115/304,8612/592 = [GCF of 6115,8612]/[LCM of 304,592]= 1/11248
Therefore, the GCF of 6115/304,8612/592 is 1/11248.
To find the highest common factor of 6115,8612, we have to find the factors of both numbers and list the highest common factor.
The factors of 6115 are 1, 5, 1223, 6115
The factors of 8612 are 1, 2, 4, 2153, 4306, 8612
The HCF of 6115,8612 is 1.
Lets's calculate GCF of 6115,8612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6115,8612 By Matching Biggest Common Factor Method
Now, list down the factors of 6115
:1,5,1223,6115
Now, list down the factors of 8612
:1,2,4,2153,4306,8612
Greatest Common Factor
We found the factors 6115,8612 . The biggest common factor number is the GCF number.
So the greatest common factor 6115,8612 is 1.
Lets's calculate LCM of 304,592
| 2 | 304, 592 |
| 2 | 152, 296 |
| 2 | 76, 148 |
| 2 | 38, 74 |
| 19, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 37 = 11248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11248
Therefore, the GCF of Fractions 6115/304,8612/592 is 1/11248
Least Common Multiple of 304,592 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 304,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,592) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(304,592) x common factors =16 x 1 = 16
LCM(304,592) = ( 304 × 592 ) / 16
LCM(304,592) = 179968 / 16
LCM(304,592) = 11248
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FAQs on GCF of Fractions of 6115/304, 8612/592
1. What is the HCF of 6115,8612?
The HCF of 6115,8612 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 6115/304, 8612/592?
Answer: GCF of Numerators as per given numbers 6115/304, 8612/592 is
GCF of Numerators i.e. for 6115,8612 is 1
LCM of denominators i.e. for 304,592 is 11248.
Thus, GCF of Fractions is 1/11248.Finally, GCF of Fractions for 6115/304, 8612/592 is 1/11248.