Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 941/969,1043/353
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 941,1043
Greatest Common Factor of Numerators i.e. GCF of 941,1043 is 1 .
LCM of Denominators means LCM of 969,353 as per the given fractions.
LCM of 969,353 is 342057 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 941,1043
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 1043
List of positive integer factors of 1043 that divides 1043 without a remainder.
1,7,149,1043
Greatest Common Factor
We found the factors 941,1043 . The biggest common factor number is the GCF number.
So the greatest common factor 941,1043 is 1.
Lets's calculate LCM of 969,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 342057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342057
Therefore, the GCF of Fractions 941/969,1043/353 is 1/342057
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 969,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,353) x common factors =1 x 1 = 1
LCM(969,353) = ( 969 × 353 ) / 1
LCM(969,353) = 342057 / 1
LCM(969,353) = 342057
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 941/969, 1043/353?
Answer: GCF of Numerators as per given numbers 941/969, 1043/353 is
GCF of Numerators i.e. for 941,1043 is 1
LCM of denominators i.e. for 969,353 is 342057.
Thus, GCF of Fractions is 1/342057.Finally, GCF of Fractions for 941/969, 1043/353 is 1/342057.