GCF of 7548/458, 8496/715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7548/458, 8496/715 i.e 12/327470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7548/458, 8496/715.
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 7548/458,8496/715?
Given fractions are 7548/458,8496/715
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 7548/458,8496/715, numerators are 7548,8496
Denominators are 458,715
The GCF of 7548,8496 is 12 .
LCM of 458,715 is 327470.
The greatest common factor of 7548/458,8496/715 = [GCF of 7548,8496]/[LCM of 458,715]= 12/327470
Therefore, the GCF of 7548/458,8496/715 is 12/327470.
To find the highest common factor of 7548,8496, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8496 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496
The HCF of 7548,8496 is 12.
Lets's calculate GCF of 7548,8496
| 2 | 7548, 8496 |
| 2 | 3774, 4248 |
| 3 | 1887, 2124 |
| 629, 708 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7548,8496 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8496
:1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496
Greatest Common Factor
We found the factors 7548,8496 . The biggest common factor number is the GCF number.
So the greatest common factor 7548,8496 is 12.
Lets's calculate LCM of 458,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 327470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/327470
Therefore, the GCF of Fractions 7548/458,8496/715 is 12/327470
Least Common Multiple of 458,715 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 458,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(458,715) x common factors =1 x 1 = 1
LCM(458,715) = ( 458 × 715 ) / 1
LCM(458,715) = 327470 / 1
LCM(458,715) = 327470
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FAQs on GCF of Fractions of 7548/458, 8496/715
1. What is the HCF of 7548,8496?
The HCF of 7548,8496 is 12
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 7548/458, 8496/715?
Answer: GCF of Numerators as per given numbers 7548/458, 8496/715 is
GCF of Numerators i.e. for 7548,8496 is 12
LCM of denominators i.e. for 458,715 is 327470.
Thus, GCF of Fractions is 12/327470.Finally, GCF of Fractions for 7548/458, 8496/715 is 12/327470.