GCF of 7184/536, 8715/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7184/536, 8715/575 i.e 1/308200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7184/536, 8715/575.
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 7184/536,8715/575?
Given fractions are 7184/536,8715/575
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 7184/536,8715/575, numerators are 7184,8715
Denominators are 536,575
The GCF of 7184,8715 is 1 .
LCM of 536,575 is 308200.
The greatest common factor of 7184/536,8715/575 = [GCF of 7184,8715]/[LCM of 536,575]= 1/308200
Therefore, the GCF of 7184/536,8715/575 is 1/308200.
To find the highest common factor of 7184,8715, we have to find the factors of both numbers and list the highest common factor.
The factors of 7184 are 1, 2, 4, 8, 16, 449, 898, 1796, 3592, 7184
The factors of 8715 are 1, 3, 5, 7, 15, 21, 35, 83, 105, 249, 415, 581, 1245, 1743, 2905, 8715
The HCF of 7184,8715 is 1.
Lets's calculate GCF of 7184,8715
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7184,8715 By Matching Biggest Common Factor Method
Now, list down the factors of 7184
:1,2,4,8,16,449,898,1796,3592,7184
Now, list down the factors of 8715
:1,3,5,7,15,21,35,83,105,249,415,581,1245,1743,2905,8715
Greatest Common Factor
We found the factors 7184,8715 . The biggest common factor number is the GCF number.
So the greatest common factor 7184,8715 is 1.
Lets's calculate LCM of 536,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 308200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308200
Therefore, the GCF of Fractions 7184/536,8715/575 is 1/308200
Least Common Multiple of 536,575 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 536,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(536,575) x common factors =1 x 1 = 1
LCM(536,575) = ( 536 × 575 ) / 1
LCM(536,575) = 308200 / 1
LCM(536,575) = 308200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7184/536, 8715/575
1. What is the HCF of 7184,8715?
The HCF of 7184,8715 is 1
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 7184/536, 8715/575?
Answer: GCF of Numerators as per given numbers 7184/536, 8715/575 is
GCF of Numerators i.e. for 7184,8715 is 1
LCM of denominators i.e. for 536,575 is 308200.
Thus, GCF of Fractions is 1/308200.Finally, GCF of Fractions for 7184/536, 8715/575 is 1/308200.