Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 916/10,141/2049
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 916,141
Greatest Common Factor of Numerators i.e. GCF of 916,141 is 1 .
LCM of Denominators means LCM of 10,2049 as per the given fractions.
LCM of 10,2049 is 20490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 916,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
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 916,141 . The biggest common factor number is the GCF number.
So the greatest common factor 916,141 is 1.
Lets's calculate LCM of 10,2049
Given numbers has no common factors except 1. So, there LCM is their product i.e 20490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20490
Therefore, the GCF of Fractions 916/10,141/2049 is 1/20490
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 10,2049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,2049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,2049) x common factors =1 x 1 = 1
LCM(10,2049) = ( 10 × 2049 ) / 1
LCM(10,2049) = 20490 / 1
LCM(10,2049) = 20490
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 916/10, 141/2049?
Answer: GCF of Numerators as per given numbers 916/10, 141/2049 is
GCF of Numerators i.e. for 916,141 is 1
LCM of denominators i.e. for 10,2049 is 20490.
Thus, GCF of Fractions is 1/20490.Finally, GCF of Fractions for 916/10, 141/2049 is 1/20490.