GCF of 7328/608, 7264/9928
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7328/608, 7264/9928 i.e 32/754528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7328/608, 7264/9928.
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 7328/608,7264/9928?
Given fractions are 7328/608,7264/9928
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 7328/608,7264/9928, numerators are 7328,7264
Denominators are 608,9928
The GCF of 7328,7264 is 32 .
LCM of 608,9928 is 754528.
The greatest common factor of 7328/608,7264/9928 = [GCF of 7328,7264]/[LCM of 608,9928]= 32/754528
Therefore, the GCF of 7328/608,7264/9928 is 32/754528.
To find the highest common factor of 7328,7264, we have to find the factors of both numbers and list the highest common factor.
The factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328
The factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264
The HCF of 7328,7264 is 32.
Lets's calculate GCF of 7328,7264
| 2 | 7328, 7264 |
| 2 | 3664, 3632 |
| 2 | 1832, 1816 |
| 2 | 916, 908 |
| 2 | 458, 454 |
| 229, 227 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 7328,7264 By Matching Biggest Common Factor Method
Now, list down the factors of 7328
:1,2,4,8,16,32,229,458,916,1832,3664,7328
Now, list down the factors of 7264
:1,2,4,8,16,32,227,454,908,1816,3632,7264
Greatest Common Factor
We found the factors 7328,7264 . The biggest common factor number is the GCF number.
So the greatest common factor 7328,7264 is 32.
Lets's calculate LCM of 608,9928
| 2 | 608, 9928 |
| 2 | 304, 4964 |
| 2 | 152, 2482 |
| 76, 1241 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 1241 = 754528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/754528
Therefore, the GCF of Fractions 7328/608,7264/9928 is 32/754528
Least Common Multiple of 608,9928 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 608,9928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,9928) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(608,9928) x common factors =8 x 1 = 8
LCM(608,9928) = ( 608 × 9928 ) / 8
LCM(608,9928) = 6036224 / 8
LCM(608,9928) = 754528
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FAQs on GCF of Fractions of 7328/608, 7264/9928
1. What is the HCF of 7328,7264?
The HCF of 7328,7264 is 32
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 7328/608, 7264/9928?
Answer: GCF of Numerators as per given numbers 7328/608, 7264/9928 is
GCF of Numerators i.e. for 7328,7264 is 32
LCM of denominators i.e. for 608,9928 is 754528.
Thus, GCF of Fractions is 32/754528.Finally, GCF of Fractions for 7328/608, 7264/9928 is 32/754528.