GCF of 7568/128, 5148/9464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7568/128, 5148/9464 i.e 44/151424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7568/128, 5148/9464.
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 7568/128,5148/9464?
Given fractions are 7568/128,5148/9464
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 7568/128,5148/9464, numerators are 7568,5148
Denominators are 128,9464
The GCF of 7568,5148 is 44 .
LCM of 128,9464 is 151424.
The greatest common factor of 7568/128,5148/9464 = [GCF of 7568,5148]/[LCM of 128,9464]= 44/151424
Therefore, the GCF of 7568/128,5148/9464 is 44/151424.
To find the highest common factor of 7568,5148, we have to find the factors of both numbers and list the highest common factor.
The factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568
The factors of 5148 are 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 132, 143, 156, 198, 234, 286, 396, 429, 468, 572, 858, 1287, 1716, 2574, 5148
The HCF of 7568,5148 is 44.
Lets's calculate GCF of 7568,5148
| 2 | 7568, 5148 |
| 2 | 3784, 2574 |
| 11 | 1892, 1287 |
| 172, 117 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 7568,5148 By Matching Biggest Common Factor Method
Now, list down the factors of 7568
:1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568
Now, list down the factors of 5148
:1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Greatest Common Factor
We found the factors 7568,5148 . The biggest common factor number is the GCF number.
So the greatest common factor 7568,5148 is 44.
Lets's calculate LCM of 128,9464
| 2 | 128, 9464 |
| 2 | 64, 4732 |
| 2 | 32, 2366 |
| 16, 1183 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 16 x 1183 = 151424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/151424
Therefore, the GCF of Fractions 7568/128,5148/9464 is 44/151424
Least Common Multiple of 128,9464 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 128,9464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,9464) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(128,9464) x common factors =8 x 1 = 8
LCM(128,9464) = ( 128 × 9464 ) / 8
LCM(128,9464) = 1211392 / 8
LCM(128,9464) = 151424
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FAQs on GCF of Fractions of 7568/128, 5148/9464
1. What is the HCF of 7568,5148?
The HCF of 7568,5148 is 44
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 7568/128, 5148/9464?
Answer: GCF of Numerators as per given numbers 7568/128, 5148/9464 is
GCF of Numerators i.e. for 7568,5148 is 44
LCM of denominators i.e. for 128,9464 is 151424.
Thus, GCF of Fractions is 44/151424.Finally, GCF of Fractions for 7568/128, 5148/9464 is 44/151424.