Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4895/166,4225/2099
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 4895,4225
Greatest Common Factor of Numerators i.e. GCF of 4895,4225 is 5 .
LCM of Denominators means LCM of 166,2099 as per the given fractions.
LCM of 166,2099 is 348434 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4895,4225
5 | 4895, 4225 |
979, 845 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 4895
List of positive integer factors of 4895 that divides 4895 without a remainder.
1,5,11,55,89,445,979,4895
Factors of 4225
List of positive integer factors of 4225 that divides 4225 without a remainder.
1,5,13,25,65,169,325,845,4225
Greatest Common Factor
We found the factors 4895,4225 . The biggest common factor number is the GCF number.
So the greatest common factor 4895,4225 is 5.
Lets's calculate LCM of 166,2099
Given numbers has no common factors except 1. So, there LCM is their product i.e 348434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/348434
Therefore, the GCF of Fractions 4895/166,4225/2099 is 5/348434
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 166,2099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,2099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(166,2099) x common factors =1 x 1 = 1
LCM(166,2099) = ( 166 × 2099 ) / 1
LCM(166,2099) = 348434 / 1
LCM(166,2099) = 348434
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 4895/166, 4225/2099?
Answer: GCF of Numerators as per given numbers 4895/166, 4225/2099 is
GCF of Numerators i.e. for 4895,4225 is 5
LCM of denominators i.e. for 166,2099 is 348434.
Thus, GCF of Fractions is 5/348434.Finally, GCF of Fractions for 4895/166, 4225/2099 is 5/348434.