Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/206,66/175
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 47,66
Greatest Common Factor of Numerators i.e. GCF of 47,66 is 1 .
LCM of Denominators means LCM of 206,175 as per the given fractions.
LCM of 206,175 is 36050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,66
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Greatest Common Factor
We found the factors 47,66 . The biggest common factor number is the GCF number.
So the greatest common factor 47,66 is 1.
Lets's calculate LCM of 206,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 36050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36050
Therefore, the GCF of Fractions 47/206,66/175 is 1/36050
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 206,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,175) x common factors =1 x 1 = 1
LCM(206,175) = ( 206 × 175 ) / 1
LCM(206,175) = 36050 / 1
LCM(206,175) = 36050
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 47/206, 66/175?
Answer: GCF of Numerators as per given numbers 47/206, 66/175 is
GCF of Numerators i.e. for 47,66 is 1
LCM of denominators i.e. for 206,175 is 36050.
Thus, GCF of Fractions is 1/36050.Finally, GCF of Fractions for 47/206, 66/175 is 1/36050.