Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8305/76,1341/135
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 8305,1341
Greatest Common Factor of Numerators i.e. GCF of 8305,1341 is 1 .
LCM of Denominators means LCM of 76,135 as per the given fractions.
LCM of 76,135 is 10260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8305,1341
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8305
List of positive integer factors of 8305 that divides 8305 without a remainder.
1,5,11,55,151,755,1661,8305
Factors of 1341
List of positive integer factors of 1341 that divides 1341 without a remainder.
1,3,9,149,447,1341
Greatest Common Factor
We found the factors 8305,1341 . The biggest common factor number is the GCF number.
So the greatest common factor 8305,1341 is 1.
Lets's calculate LCM of 76,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 10260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10260
Therefore, the GCF of Fractions 8305/76,1341/135 is 1/10260
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 76,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,135) x common factors =1 x 1 = 1
LCM(76,135) = ( 76 × 135 ) / 1
LCM(76,135) = 10260 / 1
LCM(76,135) = 10260
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 8305/76, 1341/135?
Answer: GCF of Numerators as per given numbers 8305/76, 1341/135 is
GCF of Numerators i.e. for 8305,1341 is 1
LCM of denominators i.e. for 76,135 is 10260.
Thus, GCF of Fractions is 1/10260.Finally, GCF of Fractions for 8305/76, 1341/135 is 1/10260.