Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/907,141/246
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 14,141
Greatest Common Factor of Numerators i.e. GCF of 14,141 is 1 .
LCM of Denominators means LCM of 907,246 as per the given fractions.
LCM of 907,246 is 223122 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Greatest Common Factor
We found the factors 14,141 . The biggest common factor number is the GCF number.
So the greatest common factor 14,141 is 1.
Lets's calculate LCM of 907,246
Given numbers has no common factors except 1. So, there LCM is their product i.e 223122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223122
Therefore, the GCF of Fractions 14/907,141/246 is 1/223122
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 907,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,246) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,246) x common factors =1 x 1 = 1
LCM(907,246) = ( 907 × 246 ) / 1
LCM(907,246) = 223122 / 1
LCM(907,246) = 223122
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 14/907, 141/246?
Answer: GCF of Numerators as per given numbers 14/907, 141/246 is
GCF of Numerators i.e. for 14,141 is 1
LCM of denominators i.e. for 907,246 is 223122.
Thus, GCF of Fractions is 1/223122.Finally, GCF of Fractions for 14/907, 141/246 is 1/223122.