GCF of 5010/809, 2560/4030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5010/809, 2560/4030 i.e 10/3260270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5010/809, 2560/4030.
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 5010/809,2560/4030?
Given fractions are 5010/809,2560/4030
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 5010/809,2560/4030, numerators are 5010,2560
Denominators are 809,4030
The GCF of 5010,2560 is 10 .
LCM of 809,4030 is 3260270.
The greatest common factor of 5010/809,2560/4030 = [GCF of 5010,2560]/[LCM of 809,4030]= 10/3260270
Therefore, the GCF of 5010/809,2560/4030 is 10/3260270.
To find the highest common factor of 5010,2560, we have to find the factors of both numbers and list the highest common factor.
The factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010
The factors of 2560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1280, 2560
The HCF of 5010,2560 is 10.
Lets's calculate GCF of 5010,2560
| 2 | 5010, 2560 |
| 5 | 2505, 1280 |
| 501, 256 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5010,2560 By Matching Biggest Common Factor Method
Now, list down the factors of 5010
:1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Now, list down the factors of 2560
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1280,2560
Greatest Common Factor
We found the factors 5010,2560 . The biggest common factor number is the GCF number.
So the greatest common factor 5010,2560 is 10.
Lets's calculate LCM of 809,4030
Given numbers has no common factors except 1. So, there LCM is their product i.e 3260270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3260270
Therefore, the GCF of Fractions 5010/809,2560/4030 is 10/3260270
Least Common Multiple of 809,4030 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 809,4030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,4030) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,4030) x common factors =1 x 1 = 1
LCM(809,4030) = ( 809 × 4030 ) / 1
LCM(809,4030) = 3260270 / 1
LCM(809,4030) = 3260270
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FAQs on GCF of Fractions of 5010/809, 2560/4030
1. What is the HCF of 5010,2560?
The HCF of 5010,2560 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 5010/809, 2560/4030?
Answer: GCF of Numerators as per given numbers 5010/809, 2560/4030 is
GCF of Numerators i.e. for 5010,2560 is 10
LCM of denominators i.e. for 809,4030 is 3260270.
Thus, GCF of Fractions is 10/3260270.Finally, GCF of Fractions for 5010/809, 2560/4030 is 10/3260270.