GCF of 8200/144, 2640/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8200/144, 2640/610 i.e 40/43920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8200/144, 2640/610.
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 8200/144,2640/610?
Given fractions are 8200/144,2640/610
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 8200/144,2640/610, numerators are 8200,2640
Denominators are 144,610
The GCF of 8200,2640 is 40 .
LCM of 144,610 is 43920.
The greatest common factor of 8200/144,2640/610 = [GCF of 8200,2640]/[LCM of 144,610]= 40/43920
Therefore, the GCF of 8200/144,2640/610 is 40/43920.
To find the highest common factor of 8200,2640, we have to find the factors of both numbers and list the highest common factor.
The factors of 8200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 164, 200, 205, 328, 410, 820, 1025, 1640, 2050, 4100, 8200
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 HCF of 8200,2640 is 40.
Lets's calculate GCF of 8200,2640
| 2 | 8200, 2640 |
| 2 | 4100, 1320 |
| 2 | 2050, 660 |
| 5 | 1025, 330 |
| 205, 66 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 8200,2640 By Matching Biggest Common Factor Method
Now, list down the factors of 8200
:1,2,4,5,8,10,20,25,40,41,50,82,100,164,200,205,328,410,820,1025,1640,2050,4100,8200
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
Greatest Common Factor
We found the factors 8200,2640 . The biggest common factor number is the GCF number.
So the greatest common factor 8200,2640 is 40.
Lets's calculate LCM of 144,610
| 2 | 144, 610 |
| 72, 305 |
∴ So the LCM of the given numbers is 2 x 72 x 305 = 43920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/43920
Therefore, the GCF of Fractions 8200/144,2640/610 is 40/43920
Least Common Multiple of 144,610 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 144,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(144,610) x common factors =2 x 1 = 2
LCM(144,610) = ( 144 × 610 ) / 2
LCM(144,610) = 87840 / 2
LCM(144,610) = 43920
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FAQs on GCF of Fractions of 8200/144, 2640/610
1. What is the HCF of 8200,2640?
The HCF of 8200,2640 is 40
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 8200/144, 2640/610?
Answer: GCF of Numerators as per given numbers 8200/144, 2640/610 is
GCF of Numerators i.e. for 8200,2640 is 40
LCM of denominators i.e. for 144,610 is 43920.
Thus, GCF of Fractions is 40/43920.Finally, GCF of Fractions for 8200/144, 2640/610 is 40/43920.