Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8827/149,6945/966
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 8827,6945
Greatest Common Factor of Numerators i.e. GCF of 8827,6945 is 1 .
LCM of Denominators means LCM of 149,966 as per the given fractions.
LCM of 149,966 is 143934 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8827,6945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8827
List of positive integer factors of 8827 that divides 8827 without a remainder.
1,7,13,91,97,679,1261,8827
Factors of 6945
List of positive integer factors of 6945 that divides 6945 without a remainder.
1,3,5,15,463,1389,2315,6945
Greatest Common Factor
We found the factors 8827,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 8827,6945 is 1.
Lets's calculate LCM of 149,966
Given numbers has no common factors except 1. So, there LCM is their product i.e 143934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143934
Therefore, the GCF of Fractions 8827/149,6945/966 is 1/143934
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 149,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,966) x common factors =1 x 1 = 1
LCM(149,966) = ( 149 × 966 ) / 1
LCM(149,966) = 143934 / 1
LCM(149,966) = 143934
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 8827/149, 6945/966?
Answer: GCF of Numerators as per given numbers 8827/149, 6945/966 is
GCF of Numerators i.e. for 8827,6945 is 1
LCM of denominators i.e. for 149,966 is 143934.
Thus, GCF of Fractions is 1/143934.Finally, GCF of Fractions for 8827/149, 6945/966 is 1/143934.