GCF of 2640/336, 6736/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2640/336, 6736/286 i.e 16/48048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2640/336, 6736/286.
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 2640/336,6736/286?
Given fractions are 2640/336,6736/286
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 2640/336,6736/286, numerators are 2640,6736
Denominators are 336,286
The GCF of 2640,6736 is 16 .
LCM of 336,286 is 48048.
The greatest common factor of 2640/336,6736/286 = [GCF of 2640,6736]/[LCM of 336,286]= 16/48048
Therefore, the GCF of 2640/336,6736/286 is 16/48048.
To find the highest common factor of 2640,6736, we have to find the factors of both numbers and list the highest common factor.
The factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640
The factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736
The HCF of 2640,6736 is 16.
Lets's calculate GCF of 2640,6736
| 2 | 2640, 6736 |
| 2 | 1320, 3368 |
| 2 | 660, 1684 |
| 2 | 330, 842 |
| 165, 421 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2640,6736 By Matching Biggest Common Factor Method
Now, list down the factors of 2640
:1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640
Now, list down the factors of 6736
:1,2,4,8,16,421,842,1684,3368,6736
Greatest Common Factor
We found the factors 2640,6736 . The biggest common factor number is the GCF number.
So the greatest common factor 2640,6736 is 16.
Lets's calculate LCM of 336,286
| 2 | 336, 286 |
| 168, 143 |
∴ So the LCM of the given numbers is 2 x 168 x 143 = 48048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/48048
Therefore, the GCF of Fractions 2640/336,6736/286 is 16/48048
Least Common Multiple of 336,286 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 336,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(336,286) x common factors =2 x 1 = 2
LCM(336,286) = ( 336 × 286 ) / 2
LCM(336,286) = 96096 / 2
LCM(336,286) = 48048
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FAQs on GCF of Fractions of 2640/336, 6736/286
1. What is the HCF of 2640,6736?
The HCF of 2640,6736 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 2640/336, 6736/286?
Answer: GCF of Numerators as per given numbers 2640/336, 6736/286 is
GCF of Numerators i.e. for 2640,6736 is 16
LCM of denominators i.e. for 336,286 is 48048.
Thus, GCF of Fractions is 16/48048.Finally, GCF of Fractions for 2640/336, 6736/286 is 16/48048.