Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8755/184,8060/835
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8755,8060
Greatest Common Factor of Numerators i.e. GCF of 8755,8060 is 5 .
LCM of Denominators means LCM of 184,835 as per the given fractions.
LCM of 184,835 is 153640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8755,8060
5 | 8755, 8060 |
1751, 1612 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 8755
List of positive integer factors of 8755 that divides 8755 without a remainder.
1,5,17,85,103,515,1751,8755
Factors of 8060
List of positive integer factors of 8060 that divides 8060 without a remainder.
1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
Greatest Common Factor
We found the factors 8755,8060 . The biggest common factor number is the GCF number.
So the greatest common factor 8755,8060 is 5.
Lets's calculate LCM of 184,835
Given numbers has no common factors except 1. So, there LCM is their product i.e 153640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/153640
Therefore, the GCF of Fractions 8755/184,8060/835 is 5/153640
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 184,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,835) x common factors =1 x 1 = 1
LCM(184,835) = ( 184 × 835 ) / 1
LCM(184,835) = 153640 / 1
LCM(184,835) = 153640
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 8755/184, 8060/835?
Answer: GCF of Numerators as per given numbers 8755/184, 8060/835 is
GCF of Numerators i.e. for 8755,8060 is 5
LCM of denominators i.e. for 184,835 is 153640.
Thus, GCF of Fractions is 5/153640.Finally, GCF of Fractions for 8755/184, 8060/835 is 5/153640.