GCF of 6510/296, 7344/8976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6510/296, 7344/8976 i.e 6/332112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6510/296, 7344/8976.
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 6510/296,7344/8976?
Given fractions are 6510/296,7344/8976
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 6510/296,7344/8976, numerators are 6510,7344
Denominators are 296,8976
The GCF of 6510,7344 is 6 .
LCM of 296,8976 is 332112.
The greatest common factor of 6510/296,7344/8976 = [GCF of 6510,7344]/[LCM of 296,8976]= 6/332112
Therefore, the GCF of 6510/296,7344/8976 is 6/332112.
To find the highest common factor of 6510,7344, we have to find the factors of both numbers and list the highest common factor.
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344
The HCF of 6510,7344 is 6.
Lets's calculate GCF of 6510,7344
| 2 | 6510, 7344 |
| 3 | 3255, 3672 |
| 1085, 1224 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6510,7344 By Matching Biggest Common Factor Method
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Now, list down the factors of 7344
:1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344
Greatest Common Factor
We found the factors 6510,7344 . The biggest common factor number is the GCF number.
So the greatest common factor 6510,7344 is 6.
Lets's calculate LCM of 296,8976
| 2 | 296, 8976 |
| 2 | 148, 4488 |
| 2 | 74, 2244 |
| 37, 1122 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 1122 = 332112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/332112
Therefore, the GCF of Fractions 6510/296,7344/8976 is 6/332112
Least Common Multiple of 296,8976 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 296,8976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,8976) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(296,8976) x common factors =8 x 1 = 8
LCM(296,8976) = ( 296 × 8976 ) / 8
LCM(296,8976) = 2656896 / 8
LCM(296,8976) = 332112
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FAQs on GCF of Fractions of 6510/296, 7344/8976
1. What is the HCF of 6510,7344?
The HCF of 6510,7344 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 6510/296, 7344/8976?
Answer: GCF of Numerators as per given numbers 6510/296, 7344/8976 is
GCF of Numerators i.e. for 6510,7344 is 6
LCM of denominators i.e. for 296,8976 is 332112.
Thus, GCF of Fractions is 6/332112.Finally, GCF of Fractions for 6510/296, 7344/8976 is 6/332112.