Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 141/919,2451/113
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 141,2451
Greatest Common Factor of Numerators i.e. GCF of 141,2451 is 3 .
LCM of Denominators means LCM of 919,113 as per the given fractions.
LCM of 919,113 is 103847 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 141,2451
3 | 141, 2451 |
47, 817 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 2451
List of positive integer factors of 2451 that divides 2451 without a remainder.
1,3,19,43,57,129,817,2451
Greatest Common Factor
We found the factors 141,2451 . The biggest common factor number is the GCF number.
So the greatest common factor 141,2451 is 3.
Lets's calculate LCM of 919,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 103847
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/103847
Therefore, the GCF of Fractions 141/919,2451/113 is 3/103847
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 919,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(919,113) x common factors =1 x 1 = 1
LCM(919,113) = ( 919 × 113 ) / 1
LCM(919,113) = 103847 / 1
LCM(919,113) = 103847
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 141/919, 2451/113?
Answer: GCF of Numerators as per given numbers 141/919, 2451/113 is
GCF of Numerators i.e. for 141,2451 is 3
LCM of denominators i.e. for 919,113 is 103847.
Thus, GCF of Fractions is 3/103847.Finally, GCF of Fractions for 141/919, 2451/113 is 3/103847.