GCF of 5664/590, 8995/9234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5664/590, 8995/9234 i.e 1/2724030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5664/590, 8995/9234.
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 5664/590,8995/9234?
Given fractions are 5664/590,8995/9234
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 5664/590,8995/9234, numerators are 5664,8995
Denominators are 590,9234
The GCF of 5664,8995 is 1 .
LCM of 590,9234 is 2724030.
The greatest common factor of 5664/590,8995/9234 = [GCF of 5664,8995]/[LCM of 590,9234]= 1/2724030
Therefore, the GCF of 5664/590,8995/9234 is 1/2724030.
To find the highest common factor of 5664,8995, we have to find the factors of both numbers and list the highest common factor.
The factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664
The factors of 8995 are 1, 5, 7, 35, 257, 1285, 1799, 8995
The HCF of 5664,8995 is 1.
Lets's calculate GCF of 5664,8995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5664,8995 By Matching Biggest Common Factor Method
Now, list down the factors of 5664
:1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664
Now, list down the factors of 8995
:1,5,7,35,257,1285,1799,8995
Greatest Common Factor
We found the factors 5664,8995 . The biggest common factor number is the GCF number.
So the greatest common factor 5664,8995 is 1.
Lets's calculate LCM of 590,9234
| 2 | 590, 9234 |
| 295, 4617 |
∴ So the LCM of the given numbers is 2 x 295 x 4617 = 2724030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2724030
Therefore, the GCF of Fractions 5664/590,8995/9234 is 1/2724030
Least Common Multiple of 590,9234 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 590,9234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,9234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,9234) x common factors =2 x 1 = 2
LCM(590,9234) = ( 590 × 9234 ) / 2
LCM(590,9234) = 5448060 / 2
LCM(590,9234) = 2724030
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FAQs on GCF of Fractions of 5664/590, 8995/9234
1. What is the HCF of 5664,8995?
The HCF of 5664,8995 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 5664/590, 8995/9234?
Answer: GCF of Numerators as per given numbers 5664/590, 8995/9234 is
GCF of Numerators i.e. for 5664,8995 is 1
LCM of denominators i.e. for 590,9234 is 2724030.
Thus, GCF of Fractions is 1/2724030.Finally, GCF of Fractions for 5664/590, 8995/9234 is 1/2724030.