GCF of 2864/240, 7344/4080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2864/240, 7344/4080 i.e 16/4080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2864/240, 7344/4080.
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 2864/240,7344/4080?
Given fractions are 2864/240,7344/4080
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 2864/240,7344/4080, numerators are 2864,7344
Denominators are 240,4080
The GCF of 2864,7344 is 16 .
LCM of 240,4080 is 4080.
The greatest common factor of 2864/240,7344/4080 = [GCF of 2864,7344]/[LCM of 240,4080]= 16/4080
Therefore, the GCF of 2864/240,7344/4080 is 16/4080.
To find the highest common factor of 2864,7344, we have to find the factors of both numbers and list the highest common factor.
The factors of 2864 are 1, 2, 4, 8, 16, 179, 358, 716, 1432, 2864
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 2864,7344 is 16.
Lets's calculate GCF of 2864,7344
| 2 | 2864, 7344 |
| 2 | 1432, 3672 |
| 2 | 716, 1836 |
| 2 | 358, 918 |
| 179, 459 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2864,7344 By Matching Biggest Common Factor Method
Now, list down the factors of 2864
:1,2,4,8,16,179,358,716,1432,2864
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 2864,7344 . The biggest common factor number is the GCF number.
So the greatest common factor 2864,7344 is 16.
Lets's calculate LCM of 240,4080
| 2 | 240, 4080 |
| 2 | 120, 2040 |
| 2 | 60, 1020 |
| 2 | 30, 510 |
| 3 | 15, 255 |
| 5 | 5, 85 |
| 1, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 17 = 4080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4080
Therefore, the GCF of Fractions 2864/240,7344/4080 is 16/4080
Least Common Multiple of 240,4080 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 240,4080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,4080) = 240
common factors(in case of two or more numbers have common factors) = 1
GCF(240,4080) x common factors =240 x 1 = 240
LCM(240,4080) = ( 240 × 4080 ) / 240
LCM(240,4080) = 979200 / 240
LCM(240,4080) = 4080
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FAQs on GCF of Fractions of 2864/240, 7344/4080
1. What is the HCF of 2864,7344?
The HCF of 2864,7344 is 16
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 2864/240, 7344/4080?
Answer: GCF of Numerators as per given numbers 2864/240, 7344/4080 is
GCF of Numerators i.e. for 2864,7344 is 16
LCM of denominators i.e. for 240,4080 is 4080.
Thus, GCF of Fractions is 16/4080.Finally, GCF of Fractions for 2864/240, 7344/4080 is 16/4080.