GCF of 9050/723, 8640/278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9050/723, 8640/278 i.e 10/200994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9050/723, 8640/278.
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 9050/723,8640/278?
Given fractions are 9050/723,8640/278
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 9050/723,8640/278, numerators are 9050,8640
Denominators are 723,278
The GCF of 9050,8640 is 10 .
LCM of 723,278 is 200994.
The greatest common factor of 9050/723,8640/278 = [GCF of 9050,8640]/[LCM of 723,278]= 10/200994
Therefore, the GCF of 9050/723,8640/278 is 10/200994.
To find the highest common factor of 9050,8640, we have to find the factors of both numbers and list the highest common factor.
The factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050
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 9050,8640 is 10.
Lets's calculate GCF of 9050,8640
| 2 | 9050, 8640 |
| 5 | 4525, 4320 |
| 905, 864 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9050,8640 By Matching Biggest Common Factor Method
Now, list down the factors of 9050
:1,2,5,10,25,50,181,362,905,1810,4525,9050
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 9050,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 9050,8640 is 10.
Lets's calculate LCM of 723,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 200994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/200994
Therefore, the GCF of Fractions 9050/723,8640/278 is 10/200994
Least Common Multiple of 723,278 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 723,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,278) x common factors =1 x 1 = 1
LCM(723,278) = ( 723 × 278 ) / 1
LCM(723,278) = 200994 / 1
LCM(723,278) = 200994
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9050/723, 8640/278
1. What is the HCF of 9050,8640?
The HCF of 9050,8640 is 10
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 9050/723, 8640/278?
Answer: GCF of Numerators as per given numbers 9050/723, 8640/278 is
GCF of Numerators i.e. for 9050,8640 is 10
LCM of denominators i.e. for 723,278 is 200994.
Thus, GCF of Fractions is 10/200994.Finally, GCF of Fractions for 9050/723, 8640/278 is 10/200994.