Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1411/27,2830/175
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 1411,2830
Greatest Common Factor of Numerators i.e. GCF of 1411,2830 is 1 .
LCM of Denominators means LCM of 27,175 as per the given fractions.
LCM of 27,175 is 4725 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1411,2830
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1411
List of positive integer factors of 1411 that divides 1411 without a remainder.
1,17,83,1411
Factors of 2830
List of positive integer factors of 2830 that divides 2830 without a remainder.
1,2,5,10,283,566,1415,2830
Greatest Common Factor
We found the factors 1411,2830 . The biggest common factor number is the GCF number.
So the greatest common factor 1411,2830 is 1.
Lets's calculate LCM of 27,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 4725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4725
Therefore, the GCF of Fractions 1411/27,2830/175 is 1/4725
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 27,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,175) x common factors =1 x 1 = 1
LCM(27,175) = ( 27 × 175 ) / 1
LCM(27,175) = 4725 / 1
LCM(27,175) = 4725
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 1411/27, 2830/175?
Answer: GCF of Numerators as per given numbers 1411/27, 2830/175 is
GCF of Numerators i.e. for 1411,2830 is 1
LCM of denominators i.e. for 27,175 is 4725.
Thus, GCF of Fractions is 1/4725.Finally, GCF of Fractions for 1411/27, 2830/175 is 1/4725.