GCF of 5005/501, 8034/7178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5005/501, 8034/7178 i.e 13/3596178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5005/501, 8034/7178.
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 5005/501,8034/7178?
Given fractions are 5005/501,8034/7178
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 5005/501,8034/7178, numerators are 5005,8034
Denominators are 501,7178
The GCF of 5005,8034 is 13 .
LCM of 501,7178 is 3596178.
The greatest common factor of 5005/501,8034/7178 = [GCF of 5005,8034]/[LCM of 501,7178]= 13/3596178
Therefore, the GCF of 5005/501,8034/7178 is 13/3596178.
To find the highest common factor of 5005,8034, we have to find the factors of both numbers and list the highest common factor.
The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005
The factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034
The HCF of 5005,8034 is 13.
Lets's calculate GCF of 5005,8034
| 13 | 5005, 8034 |
| 385, 618 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5005,8034 By Matching Biggest Common Factor Method
Now, list down the factors of 5005
:1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005
Now, list down the factors of 8034
:1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034
Greatest Common Factor
We found the factors 5005,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 5005,8034 is 13.
Lets's calculate LCM of 501,7178
Given numbers has no common factors except 1. So, there LCM is their product i.e 3596178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3596178
Therefore, the GCF of Fractions 5005/501,8034/7178 is 13/3596178
Least Common Multiple of 501,7178 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 501,7178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,7178) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,7178) x common factors =1 x 1 = 1
LCM(501,7178) = ( 501 × 7178 ) / 1
LCM(501,7178) = 3596178 / 1
LCM(501,7178) = 3596178
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FAQs on GCF of Fractions of 5005/501, 8034/7178
1. What is the HCF of 5005,8034?
The HCF of 5005,8034 is 13
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 5005/501, 8034/7178?
Answer: GCF of Numerators as per given numbers 5005/501, 8034/7178 is
GCF of Numerators i.e. for 5005,8034 is 13
LCM of denominators i.e. for 501,7178 is 3596178.
Thus, GCF of Fractions is 13/3596178.Finally, GCF of Fractions for 5005/501, 8034/7178 is 13/3596178.