GCF of 8538/192, 7548/2844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8538/192, 7548/2844 i.e 6/45504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8538/192, 7548/2844.
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 8538/192,7548/2844?
Given fractions are 8538/192,7548/2844
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 8538/192,7548/2844, numerators are 8538,7548
Denominators are 192,2844
The GCF of 8538,7548 is 6 .
LCM of 192,2844 is 45504.
The greatest common factor of 8538/192,7548/2844 = [GCF of 8538,7548]/[LCM of 192,2844]= 6/45504
Therefore, the GCF of 8538/192,7548/2844 is 6/45504.
To find the highest common factor of 8538,7548, we have to find the factors of both numbers and list the highest common factor.
The factors of 8538 are 1, 2, 3, 6, 1423, 2846, 4269, 8538
The factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548
The HCF of 8538,7548 is 6.
Lets's calculate GCF of 8538,7548
| 2 | 8538, 7548 |
| 3 | 4269, 3774 |
| 1423, 1258 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8538,7548 By Matching Biggest Common Factor Method
Now, list down the factors of 8538
:1,2,3,6,1423,2846,4269,8538
Now, list down the factors of 7548
:1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548
Greatest Common Factor
We found the factors 8538,7548 . The biggest common factor number is the GCF number.
So the greatest common factor 8538,7548 is 6.
Lets's calculate LCM of 192,2844
| 2 | 192, 2844 |
| 2 | 96, 1422 |
| 3 | 48, 711 |
| 16, 237 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 16 x 237 = 45504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/45504
Therefore, the GCF of Fractions 8538/192,7548/2844 is 6/45504
Least Common Multiple of 192,2844 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 192,2844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,2844) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(192,2844) x common factors =12 x 1 = 12
LCM(192,2844) = ( 192 × 2844 ) / 12
LCM(192,2844) = 546048 / 12
LCM(192,2844) = 45504
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FAQs on GCF of Fractions of 8538/192, 7548/2844
1. What is the HCF of 8538,7548?
The HCF of 8538,7548 is 6
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 8538/192, 7548/2844?
Answer: GCF of Numerators as per given numbers 8538/192, 7548/2844 is
GCF of Numerators i.e. for 8538,7548 is 6
LCM of denominators i.e. for 192,2844 is 45504.
Thus, GCF of Fractions is 6/45504.Finally, GCF of Fractions for 8538/192, 7548/2844 is 6/45504.