Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3857/619,5954/111
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 3857,5954
Greatest Common Factor of Numerators i.e. GCF of 3857,5954 is 1 .
LCM of Denominators means LCM of 619,111 as per the given fractions.
LCM of 619,111 is 68709 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3857,5954
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3857
List of positive integer factors of 3857 that divides 3857 without a remainder.
1,7,19,29,133,203,551,3857
Factors of 5954
List of positive integer factors of 5954 that divides 5954 without a remainder.
1,2,13,26,229,458,2977,5954
Greatest Common Factor
We found the factors 3857,5954 . The biggest common factor number is the GCF number.
So the greatest common factor 3857,5954 is 1.
Lets's calculate LCM of 619,111
Given numbers has no common factors except 1. So, there LCM is their product i.e 68709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68709
Therefore, the GCF of Fractions 3857/619,5954/111 is 1/68709
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 619,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,111) x common factors =1 x 1 = 1
LCM(619,111) = ( 619 × 111 ) / 1
LCM(619,111) = 68709 / 1
LCM(619,111) = 68709
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 3857/619, 5954/111?
Answer: GCF of Numerators as per given numbers 3857/619, 5954/111 is
GCF of Numerators i.e. for 3857,5954 is 1
LCM of denominators i.e. for 619,111 is 68709.
Thus, GCF of Fractions is 1/68709.Finally, GCF of Fractions for 3857/619, 5954/111 is 1/68709.