GCF of 2304/608, 7245/6497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2304/608, 7245/6497 i.e 9/3950176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2304/608, 7245/6497.
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 2304/608,7245/6497?
Given fractions are 2304/608,7245/6497
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 2304/608,7245/6497, numerators are 2304,7245
Denominators are 608,6497
The GCF of 2304,7245 is 9 .
LCM of 608,6497 is 3950176.
The greatest common factor of 2304/608,7245/6497 = [GCF of 2304,7245]/[LCM of 608,6497]= 9/3950176
Therefore, the GCF of 2304/608,7245/6497 is 9/3950176.
To find the highest common factor of 2304,7245, we have to find the factors of both numbers and list the highest common factor.
The factors of 2304 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304
The factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245
The HCF of 2304,7245 is 9.
Lets's calculate GCF of 2304,7245
| 3 | 2304, 7245 |
| 3 | 768, 2415 |
| 256, 805 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2304,7245 By Matching Biggest Common Factor Method
Now, list down the factors of 2304
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304
Now, list down the factors of 7245
:1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Greatest Common Factor
We found the factors 2304,7245 . The biggest common factor number is the GCF number.
So the greatest common factor 2304,7245 is 9.
Lets's calculate LCM of 608,6497
Given numbers has no common factors except 1. So, there LCM is their product i.e 3950176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3950176
Therefore, the GCF of Fractions 2304/608,7245/6497 is 9/3950176
Least Common Multiple of 608,6497 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 608,6497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,6497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,6497) x common factors =1 x 1 = 1
LCM(608,6497) = ( 608 × 6497 ) / 1
LCM(608,6497) = 3950176 / 1
LCM(608,6497) = 3950176
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FAQs on GCF of Fractions of 2304/608, 7245/6497
1. What is the HCF of 2304,7245?
The HCF of 2304,7245 is 9
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 2304/608, 7245/6497?
Answer: GCF of Numerators as per given numbers 2304/608, 7245/6497 is
GCF of Numerators i.e. for 2304,7245 is 9
LCM of denominators i.e. for 608,6497 is 3950176.
Thus, GCF of Fractions is 9/3950176.Finally, GCF of Fractions for 2304/608, 7245/6497 is 9/3950176.