Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 347/206,908/895
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 347,908
Greatest Common Factor of Numerators i.e. GCF of 347,908 is 1 .
LCM of Denominators means LCM of 206,895 as per the given fractions.
LCM of 206,895 is 184370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 347,908
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 347,908 . The biggest common factor number is the GCF number.
So the greatest common factor 347,908 is 1.
Lets's calculate LCM of 206,895
Given numbers has no common factors except 1. So, there LCM is their product i.e 184370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184370
Therefore, the GCF of Fractions 347/206,908/895 is 1/184370
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 206,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,895) x common factors =1 x 1 = 1
LCM(206,895) = ( 206 × 895 ) / 1
LCM(206,895) = 184370 / 1
LCM(206,895) = 184370
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 347/206, 908/895?
Answer: GCF of Numerators as per given numbers 347/206, 908/895 is
GCF of Numerators i.e. for 347,908 is 1
LCM of denominators i.e. for 206,895 is 184370.
Thus, GCF of Fractions is 1/184370.Finally, GCF of Fractions for 347/206, 908/895 is 1/184370.