Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8720/606,1353/931
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 8720,1353
Greatest Common Factor of Numerators i.e. GCF of 8720,1353 is 1 .
LCM of Denominators means LCM of 606,931 as per the given fractions.
LCM of 606,931 is 564186 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8720,1353
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8720
List of positive integer factors of 8720 that divides 8720 without a remainder.
1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720
Factors of 1353
List of positive integer factors of 1353 that divides 1353 without a remainder.
1,3,11,33,41,123,451,1353
Greatest Common Factor
We found the factors 8720,1353 . The biggest common factor number is the GCF number.
So the greatest common factor 8720,1353 is 1.
Lets's calculate LCM of 606,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 564186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/564186
Therefore, the GCF of Fractions 8720/606,1353/931 is 1/564186
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 606,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,931) x common factors =1 x 1 = 1
LCM(606,931) = ( 606 × 931 ) / 1
LCM(606,931) = 564186 / 1
LCM(606,931) = 564186
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 8720/606, 1353/931?
Answer: GCF of Numerators as per given numbers 8720/606, 1353/931 is
GCF of Numerators i.e. for 8720,1353 is 1
LCM of denominators i.e. for 606,931 is 564186.
Thus, GCF of Fractions is 1/564186.Finally, GCF of Fractions for 8720/606, 1353/931 is 1/564186.