Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4895/233,5167/6853
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 4895,5167
Greatest Common Factor of Numerators i.e. GCF of 4895,5167 is 1 .
LCM of Denominators means LCM of 233,6853 as per the given fractions.
LCM of 233,6853 is 1596749 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4895,5167
∴ So GCF of numbers is 1 because of no common factors present between them.
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 5167
List of positive integer factors of 5167 that divides 5167 without a remainder.
1,5167
Greatest Common Factor
We found the factors 4895,5167 . The biggest common factor number is the GCF number.
So the greatest common factor 4895,5167 is 1.
Lets's calculate LCM of 233,6853
Given numbers has no common factors except 1. So, there LCM is their product i.e 1596749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1596749
Therefore, the GCF of Fractions 4895/233,5167/6853 is 1/1596749
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 233,6853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,6853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,6853) x common factors =1 x 1 = 1
LCM(233,6853) = ( 233 × 6853 ) / 1
LCM(233,6853) = 1596749 / 1
LCM(233,6853) = 1596749
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 4895/233, 5167/6853?
Answer: GCF of Numerators as per given numbers 4895/233, 5167/6853 is
GCF of Numerators i.e. for 4895,5167 is 1
LCM of denominators i.e. for 233,6853 is 1596749.
Thus, GCF of Fractions is 1/1596749.Finally, GCF of Fractions for 4895/233, 5167/6853 is 1/1596749.