Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/323,8505/752
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 818,8505
Greatest Common Factor of Numerators i.e. GCF of 818,8505 is 1 .
LCM of Denominators means LCM of 323,752 as per the given fractions.
LCM of 323,752 is 242896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 818,8505
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 8505
List of positive integer factors of 8505 that divides 8505 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Greatest Common Factor
We found the factors 818,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 818,8505 is 1.
Lets's calculate LCM of 323,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 242896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242896
Therefore, the GCF of Fractions 818/323,8505/752 is 1/242896
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 323,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,752) x common factors =1 x 1 = 1
LCM(323,752) = ( 323 × 752 ) / 1
LCM(323,752) = 242896 / 1
LCM(323,752) = 242896
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 818/323, 8505/752?
Answer: GCF of Numerators as per given numbers 818/323, 8505/752 is
GCF of Numerators i.e. for 818,8505 is 1
LCM of denominators i.e. for 323,752 is 242896.
Thus, GCF of Fractions is 1/242896.Finally, GCF of Fractions for 818/323, 8505/752 is 1/242896.