GCF of 7316/200, 8640/7735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7316/200, 8640/7735 i.e 4/309400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7316/200, 8640/7735.
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 7316/200,8640/7735?
Given fractions are 7316/200,8640/7735
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 7316/200,8640/7735, numerators are 7316,8640
Denominators are 200,7735
The GCF of 7316,8640 is 4 .
LCM of 200,7735 is 309400.
The greatest common factor of 7316/200,8640/7735 = [GCF of 7316,8640]/[LCM of 200,7735]= 4/309400
Therefore, the GCF of 7316/200,8640/7735 is 4/309400.
To find the highest common factor of 7316,8640, we have to find the factors of both numbers and list the highest common factor.
The factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316
The factors of 8640 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 192, 216, 240, 270, 288, 320, 360, 432, 480, 540, 576, 720, 864, 960, 1080, 1440, 1728, 2160, 2880, 4320, 8640
The HCF of 7316,8640 is 4.
Lets's calculate GCF of 7316,8640
| 2 | 7316, 8640 |
| 2 | 3658, 4320 |
| 1829, 2160 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7316,8640 By Matching Biggest Common Factor Method
Now, list down the factors of 7316
:1,2,4,31,59,62,118,124,236,1829,3658,7316
Now, list down the factors of 8640
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640
Greatest Common Factor
We found the factors 7316,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 7316,8640 is 4.
Lets's calculate LCM of 200,7735
| 5 | 200, 7735 |
| 40, 1547 |
∴ So the LCM of the given numbers is 5 x 40 x 1547 = 309400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/309400
Therefore, the GCF of Fractions 7316/200,8640/7735 is 4/309400
Least Common Multiple of 200,7735 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 200,7735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,7735) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(200,7735) x common factors =5 x 1 = 5
LCM(200,7735) = ( 200 × 7735 ) / 5
LCM(200,7735) = 1547000 / 5
LCM(200,7735) = 309400
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FAQs on GCF of Fractions of 7316/200, 8640/7735
1. What is the HCF of 7316,8640?
The HCF of 7316,8640 is 4
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 7316/200, 8640/7735?
Answer: GCF of Numerators as per given numbers 7316/200, 8640/7735 is
GCF of Numerators i.e. for 7316,8640 is 4
LCM of denominators i.e. for 200,7735 is 309400.
Thus, GCF of Fractions is 4/309400.Finally, GCF of Fractions for 7316/200, 8640/7735 is 4/309400.