GCF of 5005/560, 5071/8499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5005/560, 5071/8499 i.e 11/4759440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5005/560, 5071/8499.
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 5005/560,5071/8499?
Given fractions are 5005/560,5071/8499
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 5005/560,5071/8499, numerators are 5005,5071
Denominators are 560,8499
The GCF of 5005,5071 is 11 .
LCM of 560,8499 is 4759440.
The greatest common factor of 5005/560,5071/8499 = [GCF of 5005,5071]/[LCM of 560,8499]= 11/4759440
Therefore, the GCF of 5005/560,5071/8499 is 11/4759440.
To find the highest common factor of 5005,5071, 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 5071 are 1, 11, 461, 5071
The HCF of 5005,5071 is 11.
Lets's calculate GCF of 5005,5071
| 11 | 5005, 5071 |
| 455, 461 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5005,5071 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 5071
:1,11,461,5071
Greatest Common Factor
We found the factors 5005,5071 . The biggest common factor number is the GCF number.
So the greatest common factor 5005,5071 is 11.
Lets's calculate LCM of 560,8499
Given numbers has no common factors except 1. So, there LCM is their product i.e 4759440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/4759440
Therefore, the GCF of Fractions 5005/560,5071/8499 is 11/4759440
Least Common Multiple of 560,8499 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 560,8499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,8499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,8499) x common factors =1 x 1 = 1
LCM(560,8499) = ( 560 × 8499 ) / 1
LCM(560,8499) = 4759440 / 1
LCM(560,8499) = 4759440
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5005/560, 5071/8499
1. What is the HCF of 5005,5071?
The HCF of 5005,5071 is 11
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 5005/560, 5071/8499?
Answer: GCF of Numerators as per given numbers 5005/560, 5071/8499 is
GCF of Numerators i.e. for 5005,5071 is 11
LCM of denominators i.e. for 560,8499 is 4759440.
Thus, GCF of Fractions is 11/4759440.Finally, GCF of Fractions for 5005/560, 5071/8499 is 11/4759440.