GCF of 6048/976, 7464/9148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6048/976, 7464/9148 i.e 24/2232112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6048/976, 7464/9148.
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 6048/976,7464/9148?
Given fractions are 6048/976,7464/9148
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 6048/976,7464/9148, numerators are 6048,7464
Denominators are 976,9148
The GCF of 6048,7464 is 24 .
LCM of 976,9148 is 2232112.
The greatest common factor of 6048/976,7464/9148 = [GCF of 6048,7464]/[LCM of 976,9148]= 24/2232112
Therefore, the GCF of 6048/976,7464/9148 is 24/2232112.
To find the highest common factor of 6048,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 6048,7464 is 24.
Lets's calculate GCF of 6048,7464
| 2 | 6048, 7464 |
| 2 | 3024, 3732 |
| 2 | 1512, 1866 |
| 3 | 756, 933 |
| 252, 311 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 6048,7464 By Matching Biggest Common Factor Method
Now, list down the factors of 6048
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 6048,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 6048,7464 is 24.
Lets's calculate LCM of 976,9148
| 2 | 976, 9148 |
| 2 | 488, 4574 |
| 244, 2287 |
∴ So the LCM of the given numbers is 2 x 2 x 244 x 2287 = 2232112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/2232112
Therefore, the GCF of Fractions 6048/976,7464/9148 is 24/2232112
Least Common Multiple of 976,9148 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 976,9148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,9148) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(976,9148) x common factors =4 x 1 = 4
LCM(976,9148) = ( 976 × 9148 ) / 4
LCM(976,9148) = 8928448 / 4
LCM(976,9148) = 2232112
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FAQs on GCF of Fractions of 6048/976, 7464/9148
1. What is the HCF of 6048,7464?
The HCF of 6048,7464 is 24
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 6048/976, 7464/9148?
Answer: GCF of Numerators as per given numbers 6048/976, 7464/9148 is
GCF of Numerators i.e. for 6048,7464 is 24
LCM of denominators i.e. for 976,9148 is 2232112.
Thus, GCF of Fractions is 24/2232112.Finally, GCF of Fractions for 6048/976, 7464/9148 is 24/2232112.